de_rham_cyclic/bibliografia.bib

@article {Bleher_Wood_polydiffs_structure,
	AUTHOR = {Bleher, F. M. and Wood, A.},
	TITLE = {The {G}alois module structure of holomorphic
	poly-differentials and {R}iemann-{R}och spaces},
	JOURNAL = {J. Algebra},
	FJOURNAL = {Journal of Algebra},
	VOLUME = {631},
	YEAR = {2023},
	PAGES = {756--803},
	ISSN = {0021-8693,1090-266X},
	MRCLASS = {11G20 (14G17 14H05 20C20)},
	MRNUMBER = {4595907},
	MRREVIEWER = {Martha\ Rzedowski-Calder\'on},
	DOI = {10.1016/j.jalgebra.2023.05.010},
	URL = {https://doi.org/10.1016/j.jalgebra.2023.05.010},
}

@book {Alperin_local_rep,
	AUTHOR = {Alperin, J. L.},
	TITLE = {Local representation theory},
	SERIES = {Cambridge Studies in Advanced Mathematics},
	VOLUME = {11},
	NOTE = {Modular representations as an introduction to the local
	representation theory of finite groups},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {1986},
	PAGES = {x+178},
	ISBN = {0-521-30660-4; 0-521-44926-X},
	MRCLASS = {20-02 (20C20)},
	MRNUMBER = {860771},
	MRREVIEWER = {Peter\ W.\ Donovan},
	DOI = {10.1017/CBO9780511623592},
	URL = {https://doi.org/10.1017/CBO9780511623592},
}

@book {Steinberg_Representation_book,
	AUTHOR = {Steinberg, B.},
	TITLE = {Representation theory of finite groups},
	SERIES = {Universitext},
	NOTE = {An introductory approach},
	PUBLISHER = {Springer, New York},
	YEAR = {2012},
	PAGES = {xiv+157},
	ISBN = {978-1-4614-0775-1},
	MRCLASS = {20C15 (20-01)},
	MRNUMBER = {2867444},
	MRREVIEWER = {Jamshid\ Moori},
	DOI = {10.1007/978-1-4614-0776-8},
	URL = {https://doi.org/10.1007/978-1-4614-0776-8},
}

@book {Curtis_Reiner_Methods_II,
	AUTHOR = {Curtis, C. W. and Reiner, I.},
	TITLE = {Methods of representation theory. {V}ol. {II}},
	SERIES = {Pure and Applied Mathematics (New York)},
	NOTE = {With applications to finite groups and orders,
	A Wiley-Interscience Publication},
	PUBLISHER = {John Wiley \& Sons, Inc., New York},
	YEAR = {1987},
	PAGES = {xviii+951},
	ISBN = {0-471-88871-0},
	MRCLASS = {20-02 (11Exx 18F25 19A31 19B28 19C99 20Cxx)},
	MRNUMBER = {892316},
	MRREVIEWER = {J.\ L.\ Alperin},
}

@misc{garnek_indecomposables,
	title={Indecomposable direct summands of cohomologies of curves}, 
	author={Garnek, J.},
	year={2024},
	eprint={2410.03319},
	archivePrefix={arXiv},
	primaryClass={math.AG},
	url={https://arxiv.org/abs/2410.03319}, 
	note={arXiv 2410.03319}
}

@article{laurent_kock_drinfeld,
	author = {Laurent, L. and K{\"{o}}ck, B.},
	title = {The canonical representation of the Drinfeld curve},
	journal = {Mathematische Nachrichten},
	volume = {online first},
	number = {},
	pages = {},
	year = {2024},
	doi = {https://doi.org/10.1002/mana.202200402},
	url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.202200402},
	eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.202200402},
	abstract = {Abstract If C\$C\$ is a smooth projective curve over an algebraically closed field F\$\mathbb {F}\$ and G\$G\$ is a group of automorphisms of C\$C\$, the canonical representation of C\$C\$ is given by the induced F\$\mathbb {F}\$-linear action of G\$G\$ on the vector space H0C,ΩC\$H^0\left(C,\Omega \_C\right)\$ of holomorphic differentials on C\$C\$. Computing it is still an open problem in general when the cover C→C/G\$C \rightarrow C/G\$ is wildly ramified. In this paper, we fix a prime power q\$q\$, we consider the Drinfeld curve, that is, the curve C\$C\$ given by the equation XYq−XqY−Zq+1=0\${XY^q-X^qY-Z^{q+1}=0}\$ over F=Fq¯\$\mathbb {F}=\hspace{0.83328pt}\overline{\hspace{-0.83328pt}\mathbb {F}\_q\hspace{-0.83328pt}}\hspace{0.83328pt}\$ together with its standard action by G=SL2Fq\${G=SL\_2\left(\mathbb {F}\_q\right)}\$, and decompose H0C,ΩC\$H^0\left(C,\Omega \_C\right)\$ as a direct sum of indecomposable representations of G\$G\$, thus solving the aforementioned problem in this case.}
}

@book {Benson_reps_and_vbs,
	AUTHOR = {Benson, D. J.},
	TITLE = {Representations of elementary abelian {$p$}-groups and vector
	bundles},
	SERIES = {Cambridge Tracts in Mathematics},
	VOLUME = {208},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {2017},
	PAGES = {xvii+328},
	ISBN = {978-1-107-17417-7},
	MRCLASS = {20C20 (14J60 14L30)},
	MRNUMBER = {3585474},
	MRREVIEWER = {Alan\ Koch},
	DOI = {10.1017/9781316795699},
	URL = {https://doi.org/10.1017/9781316795699},
}

@article {Wheeler,
	AUTHOR = {Wheeler, W. W.},
	TITLE = {Generic module theory},
	JOURNAL = {J. Algebra},
	FJOURNAL = {Journal of Algebra},
	VOLUME = {185},
	YEAR = {1996},
	NUMBER = {1},
	PAGES = {205--228},
	ISSN = {0021-8693,1090-266X},
	MRCLASS = {20C05},
	MRNUMBER = {1409984},
	MRREVIEWER = {M.\ E.\ Harris},
	DOI = {10.1006/jabr.1996.0322},
	URL = {https://doi.org/10.1006/jabr.1996.0322},
}

@article {FPS_generic_and_maximal,
	AUTHOR = {Friedlander, E. M. and Pevtsova, J. and Suslin, A.},
	TITLE = {Generic and maximal {J}ordan types},
	JOURNAL = {Invent. Math.},
	FJOURNAL = {Inventiones Mathematicae},
	VOLUME = {168},
	YEAR = {2007},
	NUMBER = {3},
	PAGES = {485--522},
	ISSN = {0020-9910,1432-1297},
	MRCLASS = {20G10 (20G15)},
	MRNUMBER = {2299560},
	MRREVIEWER = {George\ J.\ McNinch},
	DOI = {10.1007/s00222-007-0037-2},
	URL = {https://doi.org/10.1007/s00222-007-0037-2},
}

@article {Prest,
	AUTHOR = {Prest, M.},
	TITLE = {Wild representation type and undecidability},
	JOURNAL = {Comm. Algebra},
	FJOURNAL = {Communications in Algebra},
	VOLUME = {19},
	YEAR = {1991},
	NUMBER = {3},
	PAGES = {919--929},
	ISSN = {0092-7872,1532-4125},
	MRCLASS = {16G60 (03C60 03D35)},
	MRNUMBER = {1102994},
	MRREVIEWER = {Sheila\ Brenner},
	DOI = {10.1080/00927879108824178},
	URL = {https://doi.org/10.1080/00927879108824178},
}

@article {Higman,
	AUTHOR = {Higman, D. G.},
	TITLE = {Indecomposable representations at characteristic {$p$}},
	JOURNAL = {Duke Math. J.},
	FJOURNAL = {Duke Mathematical Journal},
	VOLUME = {21},
	YEAR = {1954},
	PAGES = {377--381},
	ISSN = {0012-7094,1547-7398},
	MRCLASS = {20.0X},
	MRNUMBER = {67896},
	MRREVIEWER = {B.\ Eckmann},
	URL = {http://projecteuclid.org/euclid.dmj/1077465741},
}

@article {Tanimoto_modular_reps,
	AUTHOR = {Tanimoto, R.},
	TITLE = {A note on modular representations of elementary abelian
	{$p$}-groups},
	JOURNAL = {Saitama Math. J.},
	FJOURNAL = {Saitama Mathematical Journal},
	VOLUME = {32},
	YEAR = {2019},
	PAGES = {19--34},
	ISSN = {0289-0739},
	MRCLASS = {20C20},
	MRNUMBER = {4369885},
}

@incollection {Benson_survey,
	AUTHOR = {Benson, D. J.},
	TITLE = {A survey of modules of constant {J}ordan type and vector
	bundles on projective space},
	BOOKTITLE = {Advances in representation theory of algebras},
	SERIES = {EMS Ser. Congr. Rep.},
	PAGES = {39--63},
	PUBLISHER = {Eur. Math. Soc., Z\"urich},
	YEAR = {2013},
	ISBN = {978-3-03719-125-5},
	MRCLASS = {20C20 (16G60 16S34 17C99)},
	MRNUMBER = {3220533},
	MRREVIEWER = {Yang-Hui\ He},
}

@article {CFP_constant_Jordan,
	AUTHOR = {Carlson, J. F. and Friedlander, E. M. and Pevtsova, J.},
	TITLE = {Modules of constant {J}ordan type},
	JOURNAL = {J. Reine Angew. Math.},
	FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
	Journal]},
	VOLUME = {614},
	YEAR = {2008},
	PAGES = {191--234},
	ISSN = {0075-4102,1435-5345},
	MRCLASS = {20G05 (14L15 16G70)},
	MRNUMBER = {2376286},
	MRREVIEWER = {Alan\ Koch},
	DOI = {10.1515/CRELLE.2008.006},
	URL = {https://doi.org/10.1515/CRELLE.2008.006},
}


@article {Heller_Reiner_Reps_in_integers_I,
	AUTHOR = {Heller, A. and Reiner, I.},
	TITLE = {Representations of cyclic groups in rings of integers. {I}},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {76},
	YEAR = {1962},
	PAGES = {73--92},
	ISSN = {0003-486X},
	MRCLASS = {20.80},
	MRNUMBER = {140575},
	MRREVIEWER = {Rimhak\ Ree},
	DOI = {10.2307/1970266},
	URL = {https://doi.org/10.2307/1970266},
}

@article {Borevic_Faddeev,
	AUTHOR = {{Borevi\v{c}}, Z. I. and Faddeev, D. K.},
	TITLE = {Theory of homology in groups. {II}. {P}rojective resolutions
	of finite groups},
	JOURNAL = {Vestnik Leningrad. Univ.},
	FJOURNAL = {Vestnik Leningrad. Univ.},
	VOLUME = {14},
	YEAR = {1959},
	NUMBER = {7},
	PAGES = {72--87},
	MRCLASS = {18.00},
	MRNUMBER = {106234},
	MRREVIEWER = {W.\ T.\ van Est},
}

@article {Lucas_theorem,
	AUTHOR = {Lucas, E.},
	TITLE = {Sur les congruences des nombres eul\'eriens et les
	coefficients diff\'erentiels des functions trigonom\'etriques
	suivant un module premier},
	JOURNAL = {Bull. Soc. Math. France},
	FJOURNAL = {Bulletin de la Soci\'et\'e{} Math\'ematique de France},
	VOLUME = {6},
	YEAR = {1878},
	PAGES = {49--54},
	ISSN = {0037-9484},
	MRCLASS = {99-04},
	MRNUMBER = {1503769},
	URL = {http://www.numdam.org/item?id=BSMF_1878__6__49_1},
}

@article {Harbater_Stevenson_patching_thickening,
	AUTHOR = {Harbater, D. and Stevenson, K. F.},
	TITLE = {Patching and thickening problems},
	JOURNAL = {J. Algebra},
	FJOURNAL = {Journal of Algebra},
	VOLUME = {212},
	YEAR = {1999},
	NUMBER = {1},
	PAGES = {272--304},
	ISSN = {0021-8693,1090-266X},
	MRCLASS = {14B10 (12F12 14B12 14H30)},
	MRNUMBER = {1670658},
	MRREVIEWER = {Hiroaki\ Nakamura},
	DOI = {10.1006/jabr.1998.7574},
	URL = {https://doi.org/10.1006/jabr.1998.7574},
}

@incollection {Harbater_patching,
	AUTHOR = {Harbater, D.},
	TITLE = {Patching and {G}alois theory},
	BOOKTITLE = {Galois groups and fundamental groups},
	SERIES = {Math. Sci. Res. Inst. Publ.},
	VOLUME = {41},
	PAGES = {313--424},
	PUBLISHER = {Cambridge Univ. Press, Cambridge},
	YEAR = {2003},
	ISBN = {0-521-80831-6},
	MRCLASS = {14H30 (12F12 14G22)},
	MRNUMBER = {2012220},
	MRREVIEWER = {Robert\ M.\ Guralnick},
}

@article {Das_Kumar_inertia_alternating,
	AUTHOR = {Das, S. and Kumar, M.},
	TITLE = {On the inertia conjecture for alternating group covers},
	JOURNAL = {J. Pure Appl. Algebra},
	FJOURNAL = {Journal of Pure and Applied Algebra},
	VOLUME = {224},
	YEAR = {2020},
	NUMBER = {9},
	PAGES = {106363, 14},
	ISSN = {0022-4049,1873-1376},
	MRCLASS = {11S15 (13B05 14G17 14H30)},
	MRNUMBER = {4083789},
	MRREVIEWER = {Alan\ Koch},
	DOI = {10.1016/j.jpaa.2020.106363},
	URL = {https://doi.org/10.1016/j.jpaa.2020.106363},
}

@article {Nicolas_Serre_formes_mod2,
	AUTHOR = {Nicolas, J.-L. and Serre, J.-P.},
	TITLE = {Formes modulaires modulo 2: structure de l'alg\`ebre de
	{H}ecke},
	JOURNAL = {C. R. Math. Acad. Sci. Paris},
	FJOURNAL = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences.
	Paris},
	VOLUME = {350},
	YEAR = {2012},
	NUMBER = {9-10},
	PAGES = {449--454},
	ISSN = {1631-073X,1778-3569},
	MRCLASS = {11F25},
	MRNUMBER = {2929047},
	MRREVIEWER = {Dominic\ A.\ Lanphier},
	DOI = {10.1016/j.crma.2012.03.019},
	URL = {https://doi.org/10.1016/j.crma.2012.03.019},
}

@article {Medvedovsky_nilpotence_order,
	AUTHOR = {Medvedovsky, A.},
	TITLE = {Nilpotence order growth of recursion operators in
	characteristic {$p$}},
	JOURNAL = {Algebra Number Theory},
	FJOURNAL = {Algebra \& Number Theory},
	VOLUME = {12},
	YEAR = {2018},
	NUMBER = {3},
	PAGES = {693--722},
	ISSN = {1937-0652,1944-7833},
	MRCLASS = {11T55 (11B85 11F03 11F33)},
	MRNUMBER = {3815310},
	MRREVIEWER = {Dominic\ A.\ Lanphier},
	DOI = {10.2140/ant.2018.12.693},
	URL = {https://doi.org/10.2140/ant.2018.12.693},
}

@article {Bellaiche_self_correspondences,
	AUTHOR = {Bella\"{\i}che, J.},
	TITLE = {On self-correspondences on curves},
	JOURNAL = {Algebra Number Theory},
	FJOURNAL = {Algebra \& Number Theory},
	VOLUME = {17},
	YEAR = {2023},
	NUMBER = {11},
	PAGES = {1867--1899},
	ISSN = {1937-0652,1944-7833},
	MRCLASS = {14A10 (14E05 14F20 37P99)},
	MRNUMBER = {4648850},
	DOI = {10.2140/ant.2023.17.1867},
	URL = {https://doi.org/10.2140/ant.2023.17.1867},
}

@article {FW_Kock_Galois_module_theory,
	AUTHOR = {Fischbacher-Weitz, H. and K\"{o}ck, B.},
	TITLE = {Galois-module theory for wildly ramified covers of curves over
	finite fields},
	NOTE = {With an appendix by B. K\"{o}ck and A. Marmora},
	JOURNAL = {Doc. Math.},
	FJOURNAL = {Documenta Mathematica},
	VOLUME = {24},
	YEAR = {2019},
	PAGES = {175--208},
	ISSN = {1431-0635,1431-0643},
	MRCLASS = {11R58 (14G10 14G15 14H30)},
	MRNUMBER = {3946710},
	MRREVIEWER = {Takehiro\ Hasegawa},
}

@article {Commelin_MT_for_products,
	AUTHOR = {Commelin, J.},
	TITLE = {The {M}umford-{T}ate conjecture for products of abelian
	varieties},
	JOURNAL = {Algebr. Geom.},
	FJOURNAL = {Algebraic Geometry},
	VOLUME = {6},
	YEAR = {2019},
	NUMBER = {6},
	PAGES = {650--677},
	ISSN = {2313-1691,2214-2584},
	MRCLASS = {14F20 (14K15)},
	MRNUMBER = {4009176},
	MRREVIEWER = {Alessandra\ Bertapelle},
	DOI = {10.14231/ag-2019-028},
	URL = {https://doi.org/10.14231/ag-2019-028},
}

@article {Ribet_Hodge_classes_certain,
	AUTHOR = {Ribet, K. A.},
	TITLE = {Hodge classes on certain types of abelian varieties},
	JOURNAL = {Amer. J. Math.},
	FJOURNAL = {American Journal of Mathematics},
	VOLUME = {105},
	YEAR = {1983},
	NUMBER = {2},
	PAGES = {523--538},
	ISSN = {0002-9327,1080-6377},
	MRCLASS = {14K22 (11G10 11G40 14C30)},
	MRNUMBER = {701568},
	MRREVIEWER = {Yu.\ G.\ Zarkhin},
	DOI = {10.2307/2374267},
	URL = {https://doi.org/10.2307/2374267},
}

@article {Farfan_torsion_type_iii,
	AUTHOR = {Cantoral Farf\'{a}n, V.},
	TITLE = {Torsion for abelian varieties of type {III}},
	JOURNAL = {J. Number Theory},
	FJOURNAL = {Journal of Number Theory},
	VOLUME = {198},
	YEAR = {2019},
	PAGES = {346--380},
	ISSN = {0022-314X,1096-1658},
	MRCLASS = {11G10 (11F80 14K15)},
	MRNUMBER = {3912942},
	MRREVIEWER = {Neil\ P.\ Dummigan},
	DOI = {10.1016/j.jnt.2018.10.017},
	URL = {https://doi.org/10.1016/j.jnt.2018.10.017},
}

@article {Chi_IV,
	AUTHOR = {Chi, W. Ch.},
	TITLE = {On the {$l$}-adic representations attached to simple abelian
	varieties of type {${\rm IV}$}},
	JOURNAL = {Bull. Austral. Math. Soc.},
	FJOURNAL = {Bulletin of the Australian Mathematical Society},
	VOLUME = {44},
	YEAR = {1991},
	NUMBER = {1},
	PAGES = {71--78},
	ISSN = {0004-9727},
	MRCLASS = {11G10 (11G15 14K05)},
	MRNUMBER = {1120395},
	MRREVIEWER = {Nigel\ Boston},
	DOI = {10.1017/S0004972700029476},
	URL = {https://doi.org/10.1017/S0004972700029476},
}

@article {Zarhin_endo_Jacobians_cyclic_covers,
	AUTHOR = {Zarhin, Y. G.},
	TITLE = {The endomorphism rings of {J}acobians of cyclic covers of the
	projective line},
	JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
	FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
	Society},
	VOLUME = {136},
	YEAR = {2004},
	NUMBER = {2},
	PAGES = {257--267},
	ISSN = {0305-0041,1469-8064},
	MRCLASS = {11G10 (14H40)},
	MRNUMBER = {2040573},
	MRREVIEWER = {Ivica\ Gusi\'{c}},
	DOI = {10.1017/S0305004103007102},
	URL = {https://doi.org/10.1017/S0305004103007102},
}

@phdthesis{van_bommel_2014,
	title={Almost all hyperelliptic Jacobians have a bad semi-abelian prime},
	author={van Bommel, R.},
	year={2014}
} 

@article {Legrand_twists_superelliptic,
	AUTHOR = {Legrand, F.},
	TITLE = {Twists of superelliptic curves without rational points},
	JOURNAL = {Int. Math. Res. Not. IMRN},
	FJOURNAL = {International Mathematics Research Notices. IMRN},
	YEAR = {2018},
	NUMBER = {4},
	PAGES = {1153--1176},
	ISSN = {1073-7928,1687-0247},
	MRCLASS = {11G05 (14H50)},
	MRNUMBER = {3801458},
	MRREVIEWER = {Martin\ Epkenhans},
	DOI = {10.1093/imrn/rnw270},
	URL = {https://doi.org/10.1093/imrn/rnw270},
}

@article {Rasmussen_Tamagawa_cyclic_covers_ihara,
	AUTHOR = {Rasmussen, Ch. and Tamagawa, A.},
	TITLE = {Cyclic covers and {I}hara's question},
	JOURNAL = {Res. Number Theory},
	FJOURNAL = {Research in Number Theory},
	VOLUME = {5},
	YEAR = {2019},
	NUMBER = {4},
	PAGES = {Paper No. 33, 23},
	ISSN = {2522-0160,2363-9555},
	MRCLASS = {14H40 (11F80 11G10 11G30)},
	MRNUMBER = {4018545},
	MRREVIEWER = {Benjamin\ Smith},
	DOI = {10.1007/s40993-019-0170-1},
	URL = {https://doi.org/10.1007/s40993-019-0170-1},
}

@article {Beneish_locally_soluble,
	AUTHOR = {Beneish, L. and Keyes, Ch.},
	TITLE = {On the proportion of locally soluble superelliptic curves},
	JOURNAL = {Finite Fields Appl.},
	FJOURNAL = {Finite Fields and their Applications},
	VOLUME = {85},
	YEAR = {2023},
	PAGES = {Paper No. 102128, 85},
	ISSN = {1071-5797,1090-2465},
	MRCLASS = {11G30 (11G20)},
	MRNUMBER = {4513718},
	MRREVIEWER = {Yves\ Aubry},
	DOI = {10.1016/j.ffa.2022.102128},
	URL = {https://doi.org/10.1016/j.ffa.2022.102128},
}

@inproceedings {Sutherland_counting_superelliptic,
	AUTHOR = {Sutherland, A. V.},
	TITLE = {Counting points on superelliptic curves in average polynomial
	time},
	BOOKTITLE = {A{NTS} {XIV}---{P}roceedings of the {F}ourteenth {A}lgorithmic
	{N}umber {T}heory {S}ymposium},
	SERIES = {Open Book Ser.},
	VOLUME = {4},
	PAGES = {403--422},
	PUBLISHER = {Math. Sci. Publ., Berkeley, CA},
	YEAR = {2020},
	ISBN = {978-1-935107-08-8; 978-1-935107-07-1},
	MRCLASS = {11G20 (11M38 11Y16 14G10)},
	MRNUMBER = {4235126},
	DOI = {10.2140/obs.2020.4.403},
	URL = {https://doi.org/10.2140/obs.2020.4.403},
}

@article {Zarhin_cyclic_covers,
	AUTHOR = {Zarhin, Y. G.},
	TITLE = {Cyclic covers of the projective line, their {J}acobians and
	endomorphisms},
	JOURNAL = {J. Reine Angew. Math.},
	FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
	Journal]},
	VOLUME = {544},
	YEAR = {2002},
	PAGES = {91--110},
	ISSN = {0075-4102,1435-5345},
	MRCLASS = {11G10 (14C30 14K15)},
	MRNUMBER = {1887891},
	MRREVIEWER = {Ivica\ Gusi\'{c}},
	DOI = {10.1515/crll.2002.030},
	URL = {https://doi.org/10.1515/crll.2002.030},
}

@misc{Farfan_Survey_HTMTC,
	Author = {Cantoral Farf\'{a}n, V.},
	Title = {A survey around the {H}odge, {T}ate and {M}umford-{T}ate conjectures for abelian varieties},
	Year = {2016},
	Eprint = {arXiv:1602.08354},
	note = {arXiv:1602.08354},
}

@article {Ghidelli_Arbitrarily_long,
	AUTHOR = {Ghidelli, L.},
	TITLE = {Arbitrarily long gaps between the values of positive-definite
	cubic and biquadratic diagonal forms},
	JOURNAL = {J. Lond. Math. Soc. (2)},
	FJOURNAL = {Journal of the London Mathematical Society. Second Series},
	VOLUME = {102},
	YEAR = {2020},
	NUMBER = {1},
	PAGES = {43--68},
	ISSN = {0024-6107,1469-7750},
	MRCLASS = {11D85 (11B05 11P05 11R37 11R45)},
	MRNUMBER = {4143726},
	MRREVIEWER = {Timothy\ Lee\ Gillespie},
	DOI = {10.1112/jlms.12312},
	URL = {https://doi.org/10.1112/jlms.12312},
}

@article {Banaszak_Kaim_Garnek_Tate_module_type_IV,
	AUTHOR = {Banaszak, G. and Kaim-Garnek, A.},
	TITLE = {The {T}ate module of a simple abelian variety of type {IV}},
	JOURNAL = {New York J. Math.},
	FJOURNAL = {New York Journal of Mathematics},
	VOLUME = {27},
	YEAR = {2021},
	PAGES = {1240--1257},
	ISSN = {1076-9803},
	MRCLASS = {11F80 (11G10 16K20)},
	MRNUMBER = {4302422},
	MRREVIEWER = {Adam\ Morgan},
	URL = {},
}

@incollection {Weigel_profinite_completion,
	AUTHOR = {Weigel, T.},
	TITLE = {On the profinite completion of arithmetic groups of split
	type},
	BOOKTITLE = {Lois d'alg\`ebres et vari\'{e}t\'{e}s alg\'{e}briques
	({C}olmar, 1991)},
	SERIES = {Travaux en Cours},
	VOLUME = {50},
	PAGES = {79--101},
	PUBLISHER = {Hermann, Paris},
	YEAR = {1996},
	ISBN = {2-7056-6280-4},
	MRCLASS = {14L15},
	MRNUMBER = {1600994},
	MRREVIEWER = {Antoine\ Chambert-Loir},
}

@article {Vasiu_surjectivity_criteria_i,
	AUTHOR = {Vasiu, A.},
	TITLE = {Surjectivity criteria for {$p$}-adic representations. {I}},
	JOURNAL = {Manuscripta Math.},
	FJOURNAL = {Manuscripta Mathematica},
	VOLUME = {112},
	YEAR = {2003},
	NUMBER = {3},
	PAGES = {325--355},
	ISSN = {0025-2611,1432-1785},
	MRCLASS = {11S23 (14L17)},
	MRNUMBER = {2067042},
	MRREVIEWER = {Philippe\ Gille},
	DOI = {10.1007/s00229-003-0402-4},
	URL = {https://doi.org/10.1007/s00229-003-0402-4},
}

@book {Serre_course_arithmetic,
	AUTHOR = {Serre, J.-P.},
	TITLE = {A course in arithmetic},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {No. 7},
	NOTE = {Translated from the French},
	PUBLISHER = {Springer-Verlag, New York-Heidelberg},
	YEAR = {1973},
	PAGES = {viii+115},
	MRCLASS = {12-02 (10CXX 10DXX)},
	MRNUMBER = {344216},
}

@misc{cantoral_lombardo_monodromy_QM_jacobians,
	title={Monodromy groups of {J}acobians with definite quaternionic multiplication}, 
	author={Cantoral Farf\'{a}n, V. and Lombardo, D. and Voight, D.},
	year={2023},
	eprint={2303.00804},
	archivePrefix={arXiv},
	primaryClass={math.NT},
	notes={arXiv 2303.00804}
}

@book {Lang_Algebra,
	AUTHOR = {Lang, S.},
	TITLE = {Algebra},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {211},
	EDITION = {third},
	PUBLISHER = {Springer-Verlag, New York},
	YEAR = {2002},
	PAGES = {xvi+914},
	ISBN = {0-387-95385-X},
	MRCLASS = {00A05 (15-02)},
	MRNUMBER = {1878556},
	DOI = {10.1007/978-1-4613-0041-0},
	URL = {https://doi.org/10.1007/978-1-4613-0041-0},
}

@article {Fite_Gonzalez_Frobenius_distribution,
	AUTHOR = {Fit\'{e}, F. and Gonz\'{a}lez, J. and Lario,
	J.-C.},
	TITLE = {Frobenius distribution for quotients of {F}ermat curves of
	prime exponent},
	JOURNAL = {Canad. J. Math.},
	FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
	Math\'{e}matiques},
	VOLUME = {68},
	YEAR = {2016},
	NUMBER = {2},
	PAGES = {361--394},
	ISSN = {0008-414X,1496-4279},
	MRCLASS = {11D41 (11G10 11M50 14G10)},
	MRNUMBER = {3484371},
	MRREVIEWER = {A.\ Peth\H{o}},
	DOI = {10.4153/CJM-2015-028-x},
	URL = {https://doi.org/10.4153/CJM-2015-028-x},
}

@article {Hirabayashi_generalization_Maillet_Demyanenko,
	AUTHOR = {Hirabayashi, M.},
	TITLE = {A generalization of {M}aillet and {D}emyanenko determinants},
	JOURNAL = {Acta Arith.},
	FJOURNAL = {Acta Arithmetica},
	VOLUME = {83},
	YEAR = {1998},
	NUMBER = {4},
	PAGES = {391--397},
	ISSN = {0065-1036,1730-6264},
	MRCLASS = {11R29 (11R20)},
	MRNUMBER = {1610490},
	MRREVIEWER = {Kurt\ Girstmair},
	DOI = {10.4064/aa-83-4-391-397},
	URL = {https://doi.org/10.4064/aa-83-4-391-397},
}

@article {Kucera_Formulae_relative_class_nb,
	AUTHOR = {Ku\v{c}era, R.},
	TITLE = {Formulae for the relative class number of an imaginary abelian
	field in the form of a product of determinants},
	JOURNAL = {Acta Math. Inform. Univ. Ostraviensis},
	FJOURNAL = {Acta Mathematica et Informatica Universitatis Ostraviensis},
	VOLUME = {10},
	YEAR = {2002},
	NUMBER = {1},
	PAGES = {79--83},
	ISSN = {1211-4774},
	MRCLASS = {11R29 (11R20)},
	MRNUMBER = {1943026},
	MRREVIEWER = {Charles\ J.\ Parry},
}

@book {Jacobson_lectures_abstract_algebra_II,
	AUTHOR = {Jacobson, N.},
	TITLE = {Lectures in abstract algebra. {V}ol. {II}. {L}inear algebra},
	PUBLISHER = {D. Van Nostrand Co., Inc., Toronto-New York-London},
	YEAR = {1953},
	PAGES = {xii+280},
	MRCLASS = {09.1X},
	MRNUMBER = {53905},
	MRREVIEWER = {T.\ Nakayama},
}

@article {Vasiu_some_cases_MT,
	AUTHOR = {Vasiu, A.},
	TITLE = {Some cases of the {M}umford-{T}ate conjecture and {S}himura
	varieties},
	JOURNAL = {Indiana Univ. Math. J.},
	FJOURNAL = {Indiana University Mathematics Journal},
	VOLUME = {57},
	YEAR = {2008},
	NUMBER = {1},
	PAGES = {1--75},
	ISSN = {0022-2518,1943-5258},
	MRCLASS = {14K15 (11G18 14G35)},
	MRNUMBER = {2400251},
	MRREVIEWER = {Vasil\cprime \ \={I}.\ Andr\={\i}\u{\i}chuk},
	DOI = {10.1512/iumj.2008.57.3513},
	URL = {https://doi.org/10.1512/iumj.2008.57.3513},
}

@article {Dokchitser_Arithmetic_hyperelliptic,
	AUTHOR = {Dokchitser, T. and Dokchitser, V. and Maistret,
	C. and Morgan, A.},
	TITLE = {Arithmetic of hyperelliptic curves over local fields},
	JOURNAL = {Math. Ann.},
	FJOURNAL = {Mathematische Annalen},
	VOLUME = {385},
	YEAR = {2023},
	NUMBER = {3-4},
	PAGES = {1213--1322},
	ISSN = {0025-5831,1432-1807},
	MRCLASS = {11G20 (11G10 14D10 14F20 14H45)},
	MRNUMBER = {4566695},
	DOI = {10.1007/s00208-021-02319-y},
	URL = {https://doi.org/10.1007/s00208-021-02319-y},
}

@article {Landesman_hyperelliptic_maximal_Galois,
	AUTHOR = {Landesman, A. and Swaminathan, A. A. and Tao, J. and
	Xu, Y.},
	TITLE = {Hyperelliptic curves with maximal {G}alois action on the
	torsion points of their {J}acobians},
	JOURNAL = {Indiana Univ. Math. J.},
	FJOURNAL = {Indiana University Mathematics Journal},
	VOLUME = {69},
	YEAR = {2020},
	NUMBER = {7},
	PAGES = {2461--2492},
	ISSN = {0022-2518,1943-5258},
	MRCLASS = {11G30 (11F80 11G10 11R32 14J40)},
	MRNUMBER = {4195609},
	MRREVIEWER = {Neil\ P.\ Dummigan},
	DOI = {10.1512/iumj.2020.69.8178},
	URL = {https://doi.org/10.1512/iumj.2020.69.8178},
}

@misc{milneANT,
	author={Milne, J. S.},
	title={Algebraic Number Theory (v3.03)},
	year={2011},
	note={Available at www.jmilne.org/math/},
	pages={159+viii}
}

@article{Rademacher_arithmetische,
	title={Eine arithmetische {S}ummenformel},
	author={Rademacher, H.},
	journal={Monatshefte f{\"u}r Mathematik und Physik},
	volume={39},
	pages={221--228},
	year={1932},
	publisher={Springer}
}

@book {Meara_quadratic_forms,
	AUTHOR = {O'Meara, O. T.},
	TITLE = {Introduction to quadratic forms},
	SERIES = {Die Grundlehren der mathematischen Wissenschaften},
	VOLUME = {Band 117},
	PUBLISHER = {Academic Press, Inc., Publishers, New York; Springer-Verlag,
	Berlin-G\"{o}ttingen-Heidelberg},
	YEAR = {1963},
	PAGES = {xi+342},
	MRCLASS = {10.16 (12.70)},
	MRNUMBER = {152507},
	MRREVIEWER = {K.\ Iwasawa},
}

@article {Hermitian_skew_hermitian_local_rings,
	AUTHOR = {Cruickshank, J. and Quinlan, R. and Szechtman,
	F.},
	TITLE = {Hermitian and skew hermitian forms over local rings},
	JOURNAL = {Linear Algebra Appl.},
	FJOURNAL = {Linear Algebra and its Applications},
	VOLUME = {551},
	YEAR = {2018},
	PAGES = {147--161},
	ISSN = {0024-3795,1873-1856},
	MRCLASS = {11E08 (11E39 15A63)},
	MRNUMBER = {3797940},
	MRREVIEWER = {Daniel\ B.\ Shapiro},
	DOI = {10.1016/j.laa.2018.04.009},
	URL = {https://doi.org/10.1016/j.laa.2018.04.009},
}

@article {Ribet_galois_action_real_multiplication,
	AUTHOR = {Ribet, K. A.},
	TITLE = {Galois action on division points of {A}belian varieties with
	real multiplications},
	JOURNAL = {Amer. J. Math.},
	FJOURNAL = {American Journal of Mathematics},
	VOLUME = {98},
	YEAR = {1976},
	NUMBER = {3},
	PAGES = {751--804},
	ISSN = {0002-9327,1080-6377},
	MRCLASS = {14K15},
	MRNUMBER = {457455},
	MRREVIEWER = {Jacques\ V\'{e}lu},
	DOI = {10.2307/2373815},
	URL = {https://doi.org/10.2307/2373815},
}

@article {Tzermias_cyclotomic_torsion,
	AUTHOR = {Tzermias, P.},
	TITLE = {Cyclotomic torsion on {F}ermat {J}acobians},
	JOURNAL = {Arch. Math. (Basel)},
	FJOURNAL = {Archiv der Mathematik},
	VOLUME = {95},
	YEAR = {2010},
	NUMBER = {1},
	PAGES = {19--24},
	ISSN = {0003-889X,1420-8938},
	MRCLASS = {11G30 (14G05)},
	MRNUMBER = {2671233},
	MRREVIEWER = {Pete\ L.\ Clark},
	DOI = {10.1007/s00013-010-0141-1},
	URL = {https://doi.org/10.1007/s00013-010-0141-1},
}

@article {Tzermias_Explicit_rational,
	AUTHOR = {Tzermias, P.},
	TITLE = {Explicit rational functions on {F}ermat curves and a theorem
	of {G}reenberg},
	JOURNAL = {Compositio Math.},
	FJOURNAL = {Compositio Mathematica},
	VOLUME = {122},
	YEAR = {2000},
	NUMBER = {3},
	PAGES = {337--345},
	ISSN = {0010-437X,1570-5846},
	MRCLASS = {11G30 (14G05)},
	MRNUMBER = {1781335},
	MRREVIEWER = {Dino\ J.\ Lorenzini},
	DOI = {10.1023/A:1002461930939},
	URL = {https://doi.org/10.1023/A:1002461930939},
}

@article {Garnek_maximally_disjoint,
	AUTHOR = {Garnek, J.},
	TITLE = {Products of hyperelliptic {J}acobians with maximal {G}alois
	image},
	JOURNAL = {Proc. Amer. Math. Soc.},
	FJOURNAL = {Proceedings of the American Mathematical Society},
	VOLUME = {152},
	YEAR = {2024},
	NUMBER = {4},
	PAGES = {1419--1435},
	ISSN = {0002-9939,1088-6826},
	MRCLASS = {11G10 (11F80 14H40)},
	MRNUMBER = {4709215},
	DOI = {10.1090/proc/16628},
	URL = {https://doi.org/10.1090/proc/16628},
}

@misc{fite_ordinary_primes,
	title={Ordinary primes for some varieties with extra endomorphisms}, 
	author={Fit\'{e}, F.},
	year={2023},
	eprint={2005.10185},
	archivePrefix={arXiv},
	primaryClass={math.NT},
	notes={to appear in Publicacions Matem\'{a'}tiques}
}

@misc{Garnek_exponential_torsion,
	title={The "exponential" torsion of superelliptic {J}acobians}, 
	author={Garnek, J.},
	year={2024},
	eprint={2401.02377},
	archivePrefix={arXiv},
	primaryClass={math.AG},
	notes={arXiv 2401.02377}
}

@misc{Garnek_p_gp_covers_ii,
	title={$p$-group {G}alois covers of curves in characteristic $p$ {II}}, 
	author={Garnek, J.},
	year={2023},
	eprint={2308.13290},
	archivePrefix={arXiv},
	primaryClass={math.AG},
	notes={arxiv 2308.13290}
}

@incollection {Coleman_stable_reductions,
	AUTHOR = {Coleman, R.},
	TITLE = {Computing stable reductions},
	BOOKTITLE = {S\'{e}minaire de {T}h\'{e}orie des {N}ombres, {P}aris
	1985--86},
	SERIES = {Progr. Math.},
	VOLUME = {71},
	PAGES = {1--18},
	PUBLISHER = {Birkh\"{a}user Boston, Boston, MA},
	YEAR = {1987},
	ISBN = {0-8176-3369-3},
	MRCLASS = {11G20 (11D41 11G30 11L05 14H25)},
	MRNUMBER = {1017900},
	MRREVIEWER = {Christoph\ Klingenberg},
	DOI = {10.1007/978-1-4757-4267-1\_1},
	URL = {https://doi.org/10.1007/978-1-4757-4267-1_1},
}

@article {Bouw_Wewers_Computing_Lfcts_superelliptic,
	AUTHOR = {Bouw, I. I. and Wewers, S.},
	TITLE = {Computing {$L$}-functions and semistable reduction of
	superelliptic curves},
	JOURNAL = {Glasg. Math. J.},
	FJOURNAL = {Glasgow Mathematical Journal},
	VOLUME = {59},
	YEAR = {2017},
	NUMBER = {1},
	PAGES = {77--108},
	ISSN = {0017-0895,1469-509X},
	MRCLASS = {11G40 (11G20 14G10 14H50)},
	MRNUMBER = {3576328},
	MRREVIEWER = {Remke\ Kloosterman},
	DOI = {10.1017/S0017089516000057},
	URL = {https://doi.org/10.1017/S0017089516000057},
}

@misc{goodman_superelliptic,
	title={Superelliptic curves with large {G}alois images}, 
	author={Goodman, P.},
	year={2020},
	eprint={2011.14461},
	archivePrefix={arXiv},
	primaryClass={math.NT}
}

@misc{arul_torsion_fermat_quotients,
	title={Torsion points on Fermat quotients of the form $y^n = x^d + 1$}, 
	author={Arul, V.},
	year={2020},
	eprint={1910.14251},
	archivePrefix={arXiv},
	primaryClass={math.AG}
}

@article {Zarhin_non_isogenous_superelliptic,
	AUTHOR = {Zarhin, Y. G.},
	TITLE = {Non-isogenous superelliptic {J}acobians},
	JOURNAL = {Math. Z.},
	FJOURNAL = {Mathematische Zeitschrift},
	VOLUME = {253},
	YEAR = {2006},
	NUMBER = {3},
	PAGES = {537--554},
	ISSN = {0025-5874,1432-1823},
	MRCLASS = {14H40 (11G30 14K02)},
	MRNUMBER = {2221085},
	MRREVIEWER = {Bjorn\ Poonen},
	DOI = {10.1007/s00209-005-0921-7},
	URL = {https://doi.org/10.1007/s00209-005-0921-7},
}

@incollection {Zarhin_superelliptic_jacobians,
	AUTHOR = {Zarhin, Y. G.},
	TITLE = {Superelliptic {J}acobians},
	BOOKTITLE = {Diophantine geometry},
	SERIES = {CRM Series},
	VOLUME = {4},
	PAGES = {363--390},
	PUBLISHER = {Ed. Norm., Pisa},
	YEAR = {2007},
	ISBN = {978-88-7642-206-5; 88-7642-206-5},
	MRCLASS = {14K30 (11G35)},
	MRNUMBER = {2349666},
}

@article {Zarhin_endomorphisms_superelliptic,
	AUTHOR = {Zarhin, Y. G.},
	TITLE = {Endomorphisms of superelliptic {J}acobians},
	JOURNAL = {Math. Z.},
	FJOURNAL = {Mathematische Zeitschrift},
	VOLUME = {261},
	YEAR = {2009},
	NUMBER = {3},
	PAGES = {691--707},
	ISSN = {0025-5874,1432-1823},
	MRCLASS = {14H40 (11G10 11G30 14K05)},
	MRNUMBER = {2471095},
	DOI = {10.1007/s00209-008-0342-5},
	URL = {https://doi.org/10.1007/s00209-008-0342-5},
}

@article {Xue_Zarhin_Hodge_groups,
	AUTHOR = {Xue, J. and Zarhin, Y. G.},
	TITLE = {Hodge groups of certain superelliptic {J}acobians},
	JOURNAL = {Math. Res. Lett.},
	FJOURNAL = {Mathematical Research Letters},
	VOLUME = {17},
	YEAR = {2010},
	NUMBER = {2},
	PAGES = {371--388},
	ISSN = {1073-2780},
	MRCLASS = {14H40 (14K05)},
	MRNUMBER = {2644383},
	MRREVIEWER = {Cristiana\ Bertolin},
	DOI = {10.4310/MRL.2010.v17.n2.a15},
	URL = {https://doi.org/10.4310/MRL.2010.v17.n2.a15},
}

@article {Xue_Hodge_groups_superelliptic,
	AUTHOR = {Xue, J.},
	TITLE = {Hodge groups of certain superelliptic {J}acobians {II}},
	JOURNAL = {Math. Res. Lett.},
	FJOURNAL = {Mathematical Research Letters},
	VOLUME = {18},
	YEAR = {2011},
	NUMBER = {4},
	PAGES = {579--590},
	ISSN = {1073-2780},
	MRCLASS = {14H40},
	MRNUMBER = {2831828},
	MRREVIEWER = {Samuel\ Dalalyan},
	DOI = {10.4310/MRL.2011.v18.n4.a1},
	URL = {https://doi.org/10.4310/MRL.2011.v18.n4.a1},
}

@article {Xue_Endomorphisms_superelliptic,
	AUTHOR = {Xue, J.},
	TITLE = {Endomorphism algebras of {J}acobians of certain superelliptic
	curves},
	JOURNAL = {J. Number Theory},
	FJOURNAL = {Journal of Number Theory},
	VOLUME = {131},
	YEAR = {2011},
	NUMBER = {2},
	PAGES = {332--342},
	ISSN = {0022-314X,1096-1658},
	MRCLASS = {11G30 (11G10 11R18)},
	MRNUMBER = {2910215},
	MRREVIEWER = {Ivica\ Gusi\'{c}},
	DOI = {10.1016/j.jnt.2010.07.013},
	URL = {https://doi.org/10.1016/j.jnt.2010.07.013},
}

@book {Xue_Endomorphisms_Hodge_superelliptic,
	AUTHOR = {Xue, J.},
	TITLE = {The endomorphism algebras and {H}odge groups of certain
	superelliptic {J}acobians},
	NOTE = {Thesis (Ph.D.)--The Pennsylvania State University},
	PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
	YEAR = {2010},
	PAGES = {77},
	ISBN = {978-1124-36143-7},
	MRCLASS = {99-05},
	MRNUMBER = {2813970},
	URL =
	{http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3436210},
}

@article {Xue_Zarhin_centers_Hodge_superelliptic,
	AUTHOR = {Xue, J. and Zarhin, Y. G.},
	TITLE = {Centers of {H}odge groups of superelliptic {J}acobians},
	JOURNAL = {Transform. Groups},
	FJOURNAL = {Transformation Groups},
	VOLUME = {15},
	YEAR = {2010},
	NUMBER = {2},
	PAGES = {449--482},
	ISSN = {1083-4362,1531-586X},
	MRCLASS = {14H40 (14H45 14K12)},
	MRNUMBER = {2657449},
	MRREVIEWER = {Samuel\ Dalalyan},
	DOI = {10.1007/s00031-010-9085-6},
	URL = {https://doi.org/10.1007/s00031-010-9085-6},
}

@article {Jedrzejak_torsion_superelliptic,
	AUTHOR = {J\k{e}drzejak, T.},
	TITLE = {On the torsion of the {J}acobians of superelliptic curves
	{$y^q=x^p+a$}},
	JOURNAL = {J. Number Theory},
	FJOURNAL = {Journal of Number Theory},
	VOLUME = {145},
	YEAR = {2014},
	PAGES = {402--425},
	ISSN = {0022-314X,1096-1658},
	MRCLASS = {11G05 (14G25)},
	MRNUMBER = {3253312},
	MRREVIEWER = {Ariyan\ Javanpeykar},
	DOI = {10.1016/j.jnt.2014.06.013},
	URL = {https://doi.org/10.1016/j.jnt.2014.06.013},
}

@incollection {Jedrzejak_note_on_torsion,
	AUTHOR = {J\k{e}drzejak, T.},
	TITLE = {A note on the torsion of the {J}acobians of superelliptic
	curves {$y^q=x^p+a$}},
	BOOKTITLE = {Algebra, logic and number theory},
	SERIES = {Banach Center Publ.},
	VOLUME = {108},
	PAGES = {143--149},
	PUBLISHER = {Polish Acad. Sci. Inst. Math., Warsaw},
	YEAR = {2016},
	ISBN = {978-83-86806-31-7},
	MRCLASS = {11G10 (11G20 11L05 11R45)},
	MRNUMBER = {3559260},
}

@incollection {Zarhin_Endomorphisms_reference_superelliptic,
	AUTHOR = {Zarhin, Y. G.},
	TITLE = {Endomorphism algebras of abelian varieties with special
	reference to superelliptic {J}acobians},
	BOOKTITLE = {Geometry, algebra, number theory, and their information
	technology applications},
	SERIES = {Springer Proc. Math. Stat.},
	VOLUME = {251},
	PAGES = {477--528},
	PUBLISHER = {Springer, Cham},
	YEAR = {2018},
	ISBN = {978-3-319-97379-1; 978-3-319-97378-4},
	MRCLASS = {14H40 (11G10 11G30 14K05)},
	MRNUMBER = {3880401},
	MRREVIEWER = {Pawe\l \ Bor\'{o}wka},
	DOI = {10.1007/978-3-319-97379-1\_22},
	URL = {https://doi.org/10.1007/978-3-319-97379-1_22},
}

@article {Arul_division,
	AUTHOR = {Arul, V.},
	TITLE = {Division by {$1- \zeta$} on superelliptic curves and
	{J}acobians},
	JOURNAL = {Int. Math. Res. Not. IMRN},
	FJOURNAL = {International Mathematics Research Notices. IMRN},
	YEAR = {2021},
	NUMBER = {4},
	PAGES = {3143--3185},
	ISSN = {1073-7928,1687-0247},
	MRCLASS = {14H40 (11G10)},
	MRNUMBER = {4218349},
	MRREVIEWER = {Yves\ Aubry},
	DOI = {10.1093/imrn/rnaa075},
	URL = {https://doi.org/10.1093/imrn/rnaa075},
}

@incollection {Zarhin_Endomorphisms_ordinary_superelliptic,
	AUTHOR = {Zarhin, Y. G.},
	TITLE = {Endomorphisms of ordinary superelliptic {J}acobians},
	BOOKTITLE = {Abelian varieties and number theory},
	SERIES = {Contemp. Math.},
	VOLUME = {767},
	PAGES = {51--69},
	PUBLISHER = {Amer. Math. Soc., [Providence], RI},
	YEAR = {[2021] \copyright 2021},
	ISBN = {978-1-4704-5207-0},
	MRCLASS = {14H40 (11G10 11G30 14K05)},
	MRNUMBER = {4252295},
	MRREVIEWER = {Jeroen\ Hanselman},
	DOI = {10.1090/conm/767/15397},
	URL = {https://doi.org/10.1090/conm/767/15397},
}

@article {Wawrow_torsion_superelliptic,
	AUTHOR = {Wawr\'{o}w, W.},
	TITLE = {On torsion of superelliptic {J}acobians},
	JOURNAL = {J. Th\'{e}or. Nombres Bordeaux},
	FJOURNAL = {Journal de Th\'{e}orie des Nombres de Bordeaux},
	VOLUME = {33},
	YEAR = {2021},
	NUMBER = {1},
	PAGES = {223--235},
	ISSN = {1246-7405,2118-8572},
	MRCLASS = {14H40 (11G30 14G10 14H45)},
	MRNUMBER = {4312706},
	MRREVIEWER = {Zijian\ Zhou},
	URL = {http://jtnb.cedram.org/item?id=JTNB_2021__33_1_223_0},
}

@article {Pacetti_Villanueva_Galois_reps_superelliptic,
	AUTHOR = {Pacetti, A. and Villanueva, A.},
	TITLE = {Galois representations of superelliptic curves},
	JOURNAL = {Glasg. Math. J.},
	FJOURNAL = {Glasgow Mathematical Journal},
	VOLUME = {65},
	YEAR = {2023},
	NUMBER = {2},
	PAGES = {356--382},
	ISSN = {0017-0895,1469-509X},
	MRCLASS = {11G20 (11F80)},
	MRNUMBER = {4625990},
	DOI = {10.1017/S0017089522000386},
	URL = {https://doi.org/10.1017/S0017089522000386},
}

@article {Garnek_p_gp_covers,
	AUTHOR = {Garnek, J.},
	TITLE = {{$p$}-group {G}alois covers of curves in characteristic {$p$}},
	JOURNAL = {Trans. Amer. Math. Soc.},
	FJOURNAL = {Transactions of the American Mathematical Society},
	VOLUME = {376},
	YEAR = {2023},
	NUMBER = {8},
	PAGES = {5857--5897},
	ISSN = {0002-9947,1088-6850},
	MRCLASS = {14F40 (14G17 14H30)},
	MRNUMBER = {4630761},
	DOI = {10.1090/tran/8932},
	URL = {https://doi.org/10.1090/tran/8932},
}

@InCollection{Glass_Pries_Klein_covers,
	Author = {Glass, D. and Pries, R.},
	Title = {On the moduli space of {Klein} four covers of the projective line},
	BookTitle = {Computational aspects of algebraic curves. Papers from the conference, University of Idaho, Moscow, ID, USA, May 26--28, 2005},
	ISBN = {981-256-459-4},
	Pages = {58--70},
	Year = {2005},
	Publisher = {Hackensack, NJ: World Scientific},
	Language = {English},
	Keywords = {14H10,14H30},
	zbMATH = {5173409},
	Zbl = {1120.14017}
}

@Article{Glass_Klein_covers,
	Author = {Glass, D.},
	Title = {Klein-four covers of the projective line in characteristic two},
	FJournal = {Albanian Journal of Mathematics},
	Journal = {Albanian J. Math.},
	ISSN = {1930-1235},
	Volume = {1},
	Number = {1},
	Pages = {3--11},
	Year = {2007},
	Language = {English},
	Keywords = {14H30,14H37,14H45},
	URL = {x.kerkoje.com/index.php/ajm/article/view/1/1},
	zbMATH = {5190916},
	Zbl = {1123.14017}
}

@article {Wu_Scheidler_Ramification_groups_AS_extensions,
	AUTHOR = {Wu, Q. and Scheidler, R.},
	TITLE = {The ramification groups and different of a compositum of
	{A}rtin-{S}chreier extensions},
	JOURNAL = {Int. J. Number Theory},
	FJOURNAL = {International Journal of Number Theory},
	VOLUME = {6},
	YEAR = {2010},
	NUMBER = {7},
	PAGES = {1541--1564},
	ISSN = {1793-0421},
	MRCLASS = {11R58 (11R20)},
	MRNUMBER = {2740721},
	MRREVIEWER = {Nigel Byott},
	DOI = {10.1142/S1793042110003617},
	URL = {https://doi-1org-102eb17l619f1.han.amu.edu.pl/10.1142/S1793042110003617},
}

@article {Basev_reps_Z2_Z2,
	AUTHOR = {Ba\v{s}ev, V. A.},
	TITLE = {Representations of the group {$Z_{2}\times Z_{2}$} in a
	field of characteristic {$2$}},
	JOURNAL = {Dokl. Akad. Nauk SSSR},
	FJOURNAL = {Doklady Akademii Nauk SSSR},
	VOLUME = {141},
	YEAR = {1961},
	PAGES = {1015--1018},
	ISSN = {0002-3264},
	MRCLASS = {20.80},
	MRNUMBER = {0132097},
	MRREVIEWER = {R. Kochend\"{o}rffer},
}

@article {Katz_local_to_global,
	AUTHOR = {Katz, N. M.},
	TITLE = {Local-to-global extensions of representations of fundamental
	groups},
	JOURNAL = {Ann. Inst. Fourier (Grenoble)},
	FJOURNAL = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
	VOLUME = {36},
	YEAR = {1986},
	NUMBER = {4},
	PAGES = {69--106},
	ISSN = {0373-0956},
	MRCLASS = {14H30 (14B20 14E20)},
	MRNUMBER = {867916},
	MRREVIEWER = {Noriko Yui},
	URL = {http://www-1numdam-1org-102eb17fv60ca.han.amu.edu.pl/item?id=AIF_1986__36_4_69_0},
}

@article{kontogeorgis_terezakis_new_obstruction,
	title={A new obstruction to the local lifting problem}, 
	author={Kontogeorgis, A. and Terezakis, A.},
	year={2023},
	journal={arXiv:2304.08377}
}

@book {Conway_Curtis_ATLAS,
	AUTHOR = {Conway, J. H. and Curtis, R. T. and Norton, S. P. and Parker,
	R. A. and Wilson, R. A.},
	TITLE = {{$\Bbb{ATLAS}$} of finite groups},
	NOTE = {Maximal subgroups and ordinary characters for simple groups,
	With computational assistance from J. G. Thackray},
	PUBLISHER = {Oxford University Press, Eynsham},
	YEAR = {1985},
	PAGES = {xxxiv+252},
	ISBN = {0-19-853199-0},
	MRCLASS = {20D05 (20-02)},
	MRNUMBER = {827219},
	MRREVIEWER = {R. L. Griess},
}

@article {Katz_Nilpotent_Connections,
	AUTHOR = {Katz, N. M.},
	TITLE = {Nilpotent connections and the monodromy theorem:
	{A}pplications of a result of {T}urrittin},
	JOURNAL = {Inst. Hautes \'{E}tudes Sci. Publ. Math.},
	FJOURNAL = {Institut des Hautes \'{E}tudes Scientifiques. Publications
	Math\'{e}matiques},
	NUMBER = {39},
	YEAR = {1970},
	PAGES = {175--232},
	ISSN = {0073-8301},
	MRCLASS = {14A99 (32C15)},
	MRNUMBER = {291177},
	MRREVIEWER = {S. S. Shatz},
	URL = {http://www-1numdam-1org-102eb17fv08e2.han.amu.edu.pl/item?id=PMIHES_1970__39__175_0},
}

@article {Bleher_Camacho_Holomorphic_differentials,
	AUTHOR = {Bleher, F. M. and Camacho, N.},
	TITLE = {Holomorphic differentials of {K}lein four covers},
	JOURNAL = {J. Pure Appl. Algebra},
	FJOURNAL = {Journal of Pure and Applied Algebra},
	VOLUME = {227},
	YEAR = {2023},
	NUMBER = {10},
	PAGES = {Paper No. 107384, 27},
	ISSN = {0022-4049,1873-1376},
	MRCLASS = {14G17 (11G20 14H05 20C20)},
	MRNUMBER = {4576883},
	DOI = {10.1016/j.jpaa.2023.107384},
	URL = {https://doi.org/10.1016/j.jpaa.2023.107384},
}

@article {Collins_Modular_analogues,
	AUTHOR = {Collins, M. J.},
	TITLE = {Modular analogues of {J}ordan's theorem for finite linear
	groups},
	JOURNAL = {J. Reine Angew. Math.},
	FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
	Journal]},
	VOLUME = {624},
	YEAR = {2008},
	PAGES = {143--171},
	ISSN = {0075-4102},
	MRCLASS = {20H20},
	MRNUMBER = {2456628},
	MRREVIEWER = {Timothy C. Burness},
	DOI = {10.1515/CRELLE.2008.084},
	URL = {https://doi-1org-102eb17ax5485.han.amu.edu.pl/10.1515/CRELLE.2008.084},
}


@article {Larsen_Pink_Finite_subgroups,
	AUTHOR = {Larsen, M. J. and Pink, R.},
	TITLE = {Finite subgroups of algebraic groups},
	JOURNAL = {J. Amer. Math. Soc.},
	FJOURNAL = {Journal of the American Mathematical Society},
	VOLUME = {24},
	YEAR = {2011},
	NUMBER = {4},
	PAGES = {1105--1158},
	ISSN = {0894-0347},
	MRCLASS = {20H20 (20G20)},
	MRNUMBER = {2813339},
	MRREVIEWER = {Peter A. Brooksbank},
	DOI = {10.1090/S0894-0347-2011-00695-4},
	URL = {https://doi-1org-102eb17ax5485.han.amu.edu.pl/10.1090/S0894-0347-2011-00695-4},
}

@article {Lombardo_Non-isogenous,
	AUTHOR = {Lombardo, D.},
	TITLE = {Non-isogenous abelian varieties sharing the same division
	fields},
	JOURNAL = {Trans. Amer. Math. Soc.},
	FJOURNAL = {Transactions of the American Mathematical Society},
	VOLUME = {376},
	YEAR = {2023},
	NUMBER = {4},
	PAGES = {2615--2640},
	ISSN = {0002-9947},
	MRCLASS = {14K22 (11F80 11G10 14K15)},
	MRNUMBER = {4557876},
	DOI = {10.1090/tran/8767},
	URL = {https://doi-1org-102eb17qt3817.han.amu.edu.pl/10.1090/tran/8767},
}

@article{Daniels_Lozano_Conicidences,
	author = {Daniels, H. B. and Lozano-Robledo, \'A.},
	title = {Coincidences of division fields},
	journal = {Annales de l'Institut Fourier},
	publisher = {Association des Annales de l{\textquoteright}institut Fourier},
	year = {2022},
	doi = {10.5802/aif.3520},
	language = {en},
	note = {Online first},
}

@book {Childs_Concrete_Higher_algebra,
	AUTHOR = {Childs, L. N.},
	TITLE = {A concrete introduction to higher algebra},
	SERIES = {Undergraduate Texts in Mathematics},
	EDITION = {Third},
	PUBLISHER = {Springer, New York},
	YEAR = {2009},
	PAGES = {xiv+603},
	ISBN = {978-0-387-74527-5},
	MRCLASS = {00A05 (08-01 12-01 13-01 16-01 20-01)},
	MRNUMBER = {2464583},
	MRREVIEWER = {Kenneth A. Brown},
	DOI = {10.1007/978-0-387-74725-5},
	URL = {https://doi-1org-102eb17qt2f92.han.amu.edu.pl/10.1007/978-0-387-74725-5},
}

@book {Handbook_elliptic_hyperelliptic,
	TITLE = {Handbook of elliptic and hyperelliptic curve cryptography},
	SERIES = {Discrete Mathematics and its Applications (Boca Raton)},
	EDITOR = {Cohen, H. and Frey, G. and Avanzi, R. and Doche,
	C. and Lange, T. and Nguyen, K. and Vercauteren,
	F.},
	PUBLISHER = {Chapman \& Hall/CRC, Boca Raton, FL},
	YEAR = {2006},
	PAGES = {xxxiv+808},
	ISBN = {978-1-58488-518-4; 1-58488-518-1},
	MRCLASS = {14G50 (11G05 11G07 11T71 94-00 94A60)},
	MRNUMBER = {2162716},
	MRREVIEWER = {Steven D. Galbraith},
}

@article {Formanek_Sibley_gp_det,
	AUTHOR = {Formanek, E. and Sibley, D.},
	TITLE = {The group determinant determines the group},
	JOURNAL = {Proc. Amer. Math. Soc.},
	FJOURNAL = {Proceedings of the American Mathematical Society},
	VOLUME = {112},
	YEAR = {1991},
	NUMBER = {3},
	PAGES = {649--656},
	ISSN = {0002-9939},
	MRCLASS = {20C15 (15A15 20C20)},
	MRNUMBER = {1062831},
	MRREVIEWER = {Burkhard K\"{u}lshammer},
	DOI = {10.2307/2048685},
	URL = {https://doi-1org-102eb172q0072.han.amu.edu.pl/10.2307/2048685},
}

@article {Madden_Arithmetic_generalized,
	AUTHOR = {Madden, D. J.},
	TITLE = {Arithmetic in generalized {A}rtin-{S}chreier extensions of
	{$k(x)$}},
	JOURNAL = {J. Number Theory},
	FJOURNAL = {Journal of Number Theory},
	VOLUME = {10},
	YEAR = {1978},
	NUMBER = {3},
	PAGES = {303--323},
	ISSN = {0022-314X},
	MRCLASS = {12A90 (14H05)},
	MRNUMBER = {506641},
	MRREVIEWER = {M. Fried},
	DOI = {10.1016/0022-314X(78)90027-6},
	URL = {https://doi-1org-102eb1776017a.han.amu.edu.pl/10.1016/0022-314X(78)90027-6},
}

@book {MacLane_Categories_working,
	AUTHOR = {Mac Lane, S.},
	TITLE = {Categories for the working mathematician},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {5},
	EDITION = {Second},
	PUBLISHER = {Springer-Verlag, New York},
	YEAR = {1998},
	PAGES = {xii+314},
	ISBN = {0-387-98403-8},
	MRCLASS = {18-02},
	MRNUMBER = {1712872},
}

@incollection {Kato_Log_structures_of_F_I,
	AUTHOR = {Kato, K.},
	TITLE = {Logarithmic structures of {F}ontaine-{I}llusie},
	BOOKTITLE = {Algebraic analysis, geometry, and number theory ({B}altimore,
	{MD}, 1988)},
	PAGES = {191--224},
	PUBLISHER = {Johns Hopkins Univ. Press, Baltimore, MD},
	YEAR = {1989},
	MRCLASS = {14F30 (14G20)},
	MRNUMBER = {1463703},
	MRREVIEWER = {Adolfo Quir\'{o}s},
}

@article {Guralnick_Roths_theorems,
	AUTHOR = {Guralnick, R. M.},
	TITLE = {Roth's theorems and decomposition of modules},
	JOURNAL = {Linear Algebra Appl.},
	FJOURNAL = {Linear Algebra and its Applications},
	VOLUME = {39},
	YEAR = {1981},
	PAGES = {155--165},
	ISSN = {0024-3795},
	MRCLASS = {15A24 (16A64)},
	MRNUMBER = {625247},
	MRREVIEWER = {William H. Gustafson},
	DOI = {10.1016/0024-3795(81)90300-1},
	URL = {https://doi-1org-102eb170n00c5.han.amu.edu.pl/10.1016/0024-3795(81)90300-1},
}

@article{Buhler_Exact_Categories,
	title = {Exact categories},
	journal = {Expositiones Mathematicae},
	volume = {28},
	number = {1},
	pages = {1-69},
	year = {2010},
	issn = {0723-0869},
	doi = {https://doi.org/10.1016/j.exmath.2009.04.004},
	url = {https://www.sciencedirect.com/science/article/pii/S0723086909000395},
	author = {Bühler, T.},
	keywords = {Exact categories, Diagram lemmas, Homological algebra, Derived functors, Derived categories, Embedding theorems},
}

@book {Ford_Sep_algebras,
	AUTHOR = {Ford, T. J.},
	TITLE = {Separable algebras},
	SERIES = {Graduate Studies in Mathematics},
	VOLUME = {183},
	PUBLISHER = {American Mathematical Society, Providence, RI},
	YEAR = {2017},
	PAGES = {xxi+637},
	ISBN = {978-1-4704-3770-1},
	MRCLASS = {16-01 (13-01 13C20 16H05)},
	MRNUMBER = {3618889},
	MRREVIEWER = {Wolfgang Rump},
	DOI = {10.1090/gsm/183},
	URL = {https://doi-1org-102eb1784034d.han.amu.edu.pl/10.1090/gsm/183},
}

@article {Ellingsrud_Lonsted_Equivariant_Lefschetz,
	AUTHOR = {Ellingsrud, G. and L{\o}nsted, K.},
	TITLE = {An equivariant {L}efschetz formula for finite reductive
	groups},
	JOURNAL = {Math. Ann.},
	FJOURNAL = {Mathematische Annalen},
	VOLUME = {251},
	YEAR = {1980},
	NUMBER = {3},
	PAGES = {253--261},
	ISSN = {0025-5831},
	MRCLASS = {14L30 (55M99)},
	MRNUMBER = {589254},
	MRREVIEWER = {H. H. Andersen},
	DOI = {10.1007/BF01428945},
	URL = {https://doi-1org-102eb17cx014d.han.amu.edu.pl/10.1007/BF01428945},
}

@article {Ribet_Galois_action_on_division_points,
	AUTHOR = {Ribet, K. A.},
	TITLE = {Galois action on division points of {A}belian varieties with
	real multiplications},
	JOURNAL = {Amer. J. Math.},
	FJOURNAL = {American Journal of Mathematics},
	VOLUME = {98},
	YEAR = {1976},
	NUMBER = {3},
	PAGES = {751--804},
	ISSN = {0002-9327},
	MRCLASS = {14K15},
	MRNUMBER = {457455},
	MRREVIEWER = {Jacques V\'{e}lu},
	DOI = {10.2307/2373815},
	URL = {https://doi-1org-102eb179r05d3.han.amu.edu.pl/10.2307/2373815},
}

@book {Lang_Trotter_Frobenius_distributions,
	AUTHOR = {Lang, S. and Trotter, H.},
	TITLE = {Frobenius distributions in {${\rm GL}_{2}$}-extensions},
	SERIES = {Lecture Notes in Mathematics, Vol. 504},
	PUBLISHER = {Springer-Verlag, Berlin-New York},
	YEAR = {1976},
	PAGES = {iii+274},
	MRCLASS = {12A50 (10K05)},
	MRNUMBER = {0568299},
	MRREVIEWER = {G. Frey},
}

@article {Serre_proprietes,
	AUTHOR = {Serre, J.-P.},
	TITLE = {Propri\'{e}t\'{e}s galoisiennes des points d'ordre fini des courbes
	elliptiques},
	JOURNAL = {Invent. Math.},
	FJOURNAL = {Inventiones Mathematicae},
	VOLUME = {15},
	YEAR = {1972},
	NUMBER = {4},
	PAGES = {259--331},
	ISSN = {0020-9910},
	MRCLASS = {14G25 (14K15)},
	MRNUMBER = {387283},
	MRREVIEWER = {J. W. S. Cassels},
	DOI = {10.1007/BF01405086},
	URL = {https://doi-1org-102eb17l403d2.han.amu.edu.pl/10.1007/BF01405086},
}

@book {SchurI,
	AUTHOR = {Schur, I.},
	TITLE = {Gesammelte {A}bhandlungen. {B}and {I}},
	NOTE = {Herausgegeben von Alfred Brauer und Hans Rohrbach},
	PUBLISHER = {Springer-Verlag, Berlin-New York},
	YEAR = {1973},
	PAGES = {xv+491 pp. (1 plate)},
	MRCLASS = {01A75},
	MRNUMBER = {0462891},
}

@article {Jones_Almost_all_ECs_are_Serre,
	AUTHOR = {Jones, N.},
	TITLE = {Almost all elliptic curves are {S}erre curves},
	JOURNAL = {Trans. Amer. Math. Soc.},
	FJOURNAL = {Transactions of the American Mathematical Society},
	VOLUME = {362},
	YEAR = {2010},
	NUMBER = {3},
	PAGES = {1547--1570},
	ISSN = {0002-9947},
	MRCLASS = {11G05 (11F80 11R45)},
	MRNUMBER = {2563740},
	MRREVIEWER = {Ravi K. Ramakrishna},
	DOI = {10.1090/S0002-9947-09-04804-1},
	URL = {https://doi-1org-102eb17p3016b.han.amu.edu.pl/10.1090/S0002-9947-09-04804-1},
}


@book {OMeara_Symplectic_groups,
	AUTHOR = {O'Meara, O. T.},
	TITLE = {Symplectic groups},
	SERIES = {Mathematical Surveys, No. 16},
	PUBLISHER = {American Mathematical Society, Providence, R.I.},
	YEAR = {1978},
	PAGES = {xi+122},
	ISBN = {0-8218-1516-4},
	MRCLASS = {20G05 (10C30 20E36 20F28)},
	MRNUMBER = {502254},
	MRREVIEWER = {E. A. Connors},
}

@article {Witt_Zyklische_Korper,
	AUTHOR = {Witt, E.},
	TITLE = {Zyklische {K}\"{o}rper und {A}lgebren der {C}harakteristik {$p$}
	vom {G}rad {$p^n$}. {S}truktur diskret bewerteter perfekter
	{K}\"{o}rper mit vollkommenem {R}estklassenk\"{o}rper der
	{C}harakteristik {$p$}},
	JOURNAL = {J. Reine Angew. Math.},
	FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
	Journal]},
	VOLUME = {176},
	YEAR = {1937},
	PAGES = {126--140},
	ISSN = {0075-4102},
	MRCLASS = {DML},
	MRNUMBER = {1581526},
	DOI = {10.1515/crll.1937.176.126},
	URL = {https://doi-1org-102eb17fy0317.han.amu.edu.pl/10.1515/crll.1937.176.126},
}

@article {Saidi_Williams_Galois_covers_ppppp,
	AUTHOR = {Sa\"{\i}di, M. and Williams, N.},
	TITLE = {Galois covers of type {$(p,\dots,p)$}, vanishing cycles
	formula, and the existence of torsor structures},
	JOURNAL = {Osaka J. Math.},
	FJOURNAL = {Osaka Journal of Mathematics},
	VOLUME = {55},
	YEAR = {2018},
	NUMBER = {2},
	PAGES = {259--296},
	ISSN = {0030-6126},
	MRCLASS = {11G20 (14H30)},
	MRNUMBER = {3787745},
	MRREVIEWER = {Arman Shamsi Zargar},
	URL = {https://projecteuclid-1org-102eb17e60058.han.amu.edu.pl/euclid.ojm/1524038728},
}


@article {Dobben_de_Br_Hodge_ring,
	AUTHOR = {van Dobben de Bruyn, R.},
	TITLE = {The {H}odge ring of varieties in positive characteristic},
	JOURNAL = {Algebra Number Theory},
	FJOURNAL = {Algebra \& Number Theory},
	VOLUME = {15},
	YEAR = {2021},
	NUMBER = {3},
	PAGES = {729--745},
	ISSN = {1937-0652},
	MRCLASS = {14G17 (14A10 14F40)},
	MRNUMBER = {4261099},
	DOI = {10.2140/ant.2021.15.729},
	URL = {https://doi-1org-102eb17e60058.han.amu.edu.pl/10.2140/ant.2021.15.729},
}

@article {Tziolas_Quotients_alpha_p_mu_p,
	AUTHOR = {Tziolas, N.},
	TITLE = {Quotients of schemes by {$\alpha_p$} or {$\mu_p$} actions in
	characteristic {$p>0$}},
	JOURNAL = {Manuscripta Math.},
	FJOURNAL = {Manuscripta Mathematica},
	VOLUME = {152},
	YEAR = {2017},
	NUMBER = {1-2},
	PAGES = {247--279},
	ISSN = {0025-2611},
	MRCLASS = {14L30 (14D23 14J50 14L15)},
	MRNUMBER = {3595379},
	MRREVIEWER = {Yukihide Takayama},
	DOI = {10.1007/s00229-016-0854-y},
	URL = {https://doi-1org-102eb17lc001a.han.amu.edu.pl/10.1007/s00229-016-0854-y},
}

@article {Carlson_Friedlander_Suslin_Modules_for_Zp_Zp,
	AUTHOR = {Carlson, J. F. and Friedlander, E. M. and Suslin, A.},
	TITLE = {Modules for {$\Bbb Z/p\times\Bbb Z/p$}},
	JOURNAL = {Comment. Math. Helv.},
	FJOURNAL = {Commentarii Mathematici Helvetici. A Journal of the Swiss
	Mathematical Society},
	VOLUME = {86},
	YEAR = {2011},
	NUMBER = {3},
	PAGES = {609--657},
	ISSN = {0010-2571},
	MRCLASS = {20C20 (16G10 20G10)},
	MRNUMBER = {2803855},
	MRREVIEWER = {H\'{e}ctor A. Merklen},
	DOI = {10.4171/CMH/236},
	URL = {https://doi-1org-102eb17hj016a.han.amu.edu.pl/10.4171/CMH/236},
}


@book {Hindry_Arithmetics,
	AUTHOR = {Hindry, M.},
	TITLE = {Arithmetics},
	SERIES = {Universitext},
	NOTE = {Translated from the 2008 French original},
	PUBLISHER = {Springer, London},
	YEAR = {2011},
	PAGES = {xviii+321},
	ISBN = {978-1-4471-2130-5},
	MRCLASS = {11-01},
	MRNUMBER = {2816902},
	DOI = {10.1007/978-1-4471-2131-2},
	URL = {https://doi-1org-102eb171d0045.han.amu.edu.pl/10.1007/978-1-4471-2131-2},
}

@article {Hindry_Silverman_canonical_height,
	AUTHOR = {Hindry, M. and Silverman, J. H.},
	TITLE = {The canonical height and integral points on elliptic curves},
	JOURNAL = {Invent. Math.},
	FJOURNAL = {Inventiones Mathematicae},
	VOLUME = {93},
	YEAR = {1988},
	NUMBER = {2},
	PAGES = {419--450},
	ISSN = {0020-9910},
	MRCLASS = {11G05 (11D25 14G25)},
	MRNUMBER = {948108},
	MRREVIEWER = {Ernst-Ulrich Gekeler},
	DOI = {10.1007/BF01394340},
	URL = {https://doi-1org-102eb171d0045.han.amu.edu.pl/10.1007/BF01394340},
}

@article {Hindry_conjecture_Lang,
	AUTHOR = {Hindry, M.},
	TITLE = {Autour d'une conjecture de {S}erge {L}ang},
	JOURNAL = {Invent. Math.},
	FJOURNAL = {Inventiones Mathematicae},
	VOLUME = {94},
	YEAR = {1988},
	NUMBER = {3},
	PAGES = {575--603},
	ISSN = {0020-9910},
	MRCLASS = {11G10 (11J89 14K15)},
	MRNUMBER = {969244},
	MRREVIEWER = {Michel Laurent},
	DOI = {10.1007/BF01394276},
	URL = {https://doi-1org-102eb171d0045.han.amu.edu.pl/10.1007/BF01394276},
}

@article {Hindry_David,
	AUTHOR = {David, S. and Hindry, M.},
	TITLE = {Minoration de la hauteur de {N}\'{e}ron-{T}ate sur les vari\'{e}t\'{e}s
	ab\'{e}liennes de type {C}. {M}},
	JOURNAL = {J. Reine Angew. Math.},
	FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
	Journal]},
	VOLUME = {529},
	YEAR = {2000},
	PAGES = {1--74},
	ISSN = {0075-4102},
	MRCLASS = {11G50 (11G15 11J95 14G15 14K15)},
	MRNUMBER = {1799933},
	MRREVIEWER = {Carlo Gasbarri},
	DOI = {10.1515/crll.2000.096},
	URL = {https://doi-1org-102eb171d0045.han.amu.edu.pl/10.1515/crll.2000.096},
}

@article {Hindry_Ratazzi_Points_de_torsion,
	AUTHOR = {Hindry, Marc and Ratazzi, Nicolas},
	TITLE = {Points de torsion sur les vari\'{e}t\'{e}s ab\'{e}liennes de type {GS}p},
	JOURNAL = {J. Inst. Math. Jussieu},
	FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
	Journal de l'Institut de Math\'{e}matiques de Jussieu},
	VOLUME = {11},
	YEAR = {2012},
	NUMBER = {1},
	PAGES = {27--65},
	ISSN = {1474-7480},
	MRCLASS = {11J95 (11G10 14K15)},
	MRNUMBER = {2862374},
	MRREVIEWER = {Konstantinos Draziotis},
	DOI = {10.1017/S147474801000023X},
	URL = {https://doi-1org-102eb171d0045.han.amu.edu.pl/10.1017/S147474801000023X},
}

@article {Hindry_Ratazzi_torsion_pur,
	AUTHOR = {Hindry, M. and Ratazzi, N.},
	TITLE = {Torsion pour les vari\'{e}t\'{e}s ab\'{e}liennes de type {I} et {II}},
	JOURNAL = {Algebra Number Theory},
	FJOURNAL = {Algebra \& Number Theory},
	VOLUME = {10},
	YEAR = {2016},
	NUMBER = {9},
	PAGES = {1845--1891},
	ISSN = {1937-0652},
	MRCLASS = {11G10 (11F80 14K15)},
	MRNUMBER = {3576113},
	MRREVIEWER = {Davide Lombardo},
	DOI = {10.2140/ant.2016.10.1845},
	URL = {https://doi-1org-102eb171d0045.han.amu.edu.pl/10.2140/ant.2016.10.1845},
}

@article {Hindry_regulators,
	AUTHOR = {Autissier, P. and Hindry, M. and Pazuki, F.},
	TITLE = {Regulators of elliptic curves},
	JOURNAL = {Int. Math. Res. Not. IMRN},
	FJOURNAL = {International Mathematics Research Notices. IMRN},
	YEAR = {2021},
	NUMBER = {7},
	PAGES = {4976--4993},
	ISSN = {1073-7928},
	MRCLASS = {11G50 (11G05 14H52)},
	MRNUMBER = {4241121},
	MRREVIEWER = {Dragos Ghioca},
	DOI = {10.1093/imrn/rny285},
	URL = {https://doi-1org-102eb171d0045.han.amu.edu.pl/10.1093/imrn/rny285},
}


@article {Illusie_complexe_dR_Witt,
	AUTHOR = {Illusie, L.},
	TITLE = {Complexe de de {R}ham-{W}itt et cohomologie cristalline},
	JOURNAL = {Ann. Sci. \'{E}cole Norm. Sup. (4)},
	FJOURNAL = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure. Quatri\`eme
	S\'{e}rie},
	VOLUME = {12},
	YEAR = {1979},
	NUMBER = {4},
	PAGES = {501--661},
	ISSN = {0012-9593},
	MRCLASS = {14F30},
	MRNUMBER = {565469},
	MRREVIEWER = {William E. Lang},
	URL = {http://www-1numdam-1org-102eb17ck02a0.han.amu.edu.pl/item?id=ASENS_1979_4_12_4_501_0},
}

@article {Lusztig_Coxeter_orbits,
	AUTHOR = {Lusztig, G.},
	TITLE = {Coxeter orbits and eigenspaces of {F}robenius},
	JOURNAL = {Invent. Math.},
	FJOURNAL = {Inventiones Mathematicae},
	VOLUME = {38},
	YEAR = {1976/77},
	NUMBER = {2},
	PAGES = {101--159},
	ISSN = {0020-9910},
	MRCLASS = {20G05},
	MRNUMBER = {453885},
	MRREVIEWER = {David Kazhdan},
	DOI = {10.1007/BF01408569},
	URL = {https://doi-1org-102eb17k4003b.han.amu.edu.pl/10.1007/BF01408569},
}

@article {Gross_Rigid_local_systems_Gm,
	AUTHOR = {Gross, B. H.},
	TITLE = {Rigid local systems on {$\Bbb G_m$} with finite monodromy},
	JOURNAL = {Adv. Math.},
	FJOURNAL = {Advances in Mathematics},
	VOLUME = {224},
	YEAR = {2010},
	NUMBER = {6},
	PAGES = {2531--2543},
	ISSN = {0001-8708},
	MRCLASS = {20G40 (14G10 14L30 20G05)},
	MRNUMBER = {2652215},
	MRREVIEWER = {Jorge A. Vargas},
	DOI = {10.1016/j.aim.2010.02.008},
	URL = {https://doi-1org-102eb17k4003b.han.amu.edu.pl/10.1016/j.aim.2010.02.008},
}


@article {Lusztig_Irreducible_representations_77,
	AUTHOR = {Lusztig, G.},
	TITLE = {Irreducible representations of finite classical groups},
	JOURNAL = {Invent. Math.},
	FJOURNAL = {Inventiones Mathematicae},
	VOLUME = {43},
	YEAR = {1977},
	NUMBER = {2},
	PAGES = {125--175},
	ISSN = {0020-9910},
	MRCLASS = {20C15},
	MRNUMBER = {463275},
	MRREVIEWER = {James E. Humphreys},
	DOI = {10.1007/BF01390002},
	URL = {https://doi-1org-102eb17k4003b.han.amu.edu.pl/10.1007/BF01390002},
}

@article {Deligne_Lusztig_Representations_76,
	AUTHOR = {Deligne, P. and Lusztig, G.},
	TITLE = {Representations of reductive groups over finite fields},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {103},
	YEAR = {1976},
	NUMBER = {1},
	PAGES = {103--161},
	ISSN = {0003-486X},
	MRCLASS = {20G05 (14M15)},
	MRNUMBER = {393266},
	MRREVIEWER = {S. I. Gel\cprime fand},
	DOI = {10.2307/1971021},
	URL = {https://doi-1org-102eb17k4003b.han.amu.edu.pl/10.2307/1971021},
}

@article {Liu_decomposition_suz,
	AUTHOR = {Liu, L. Q.},
	TITLE = {The decomposition numbers of {${\rm Suz}(q)$}},
	JOURNAL = {J. Algebra},
	FJOURNAL = {Journal of Algebra},
	VOLUME = {172},
	YEAR = {1995},
	NUMBER = {1},
	PAGES = {1--31},
	ISSN = {0021-8693},
	MRCLASS = {20C34 (20C20)},
	MRNUMBER = {1320616},
	MRREVIEWER = {Leonard Chastkofsky},
	DOI = {10.1006/jabr.1995.1045},
	URL = {https://doi-1org-102eb17w20023.han.amu.edu.pl/10.1006/jabr.1995.1045},
}

@incollection {Malmskog_Pries_Weir_dR_Suzuki,
	AUTHOR = {Malmskog, B. and Pries, R. and Weir, C.},
	TITLE = {The de {R}ham cohomology of the {S}uzuki curves},
	BOOKTITLE = {Arithmetic geometry: computation and applications},
	SERIES = {Contemp. Math.},
	VOLUME = {722},
	PAGES = {105--119},
	PUBLISHER = {Amer. Math. Soc., [Providence], RI},
	YEAR = {2019},
	MRCLASS = {11G10 (11G20 14F40 14H40 14L15 20C20 20C33)},
	MRNUMBER = {3896851},
	MRREVIEWER = {Yves Aubry},
	DOI = {10.1090/conm/722/14537},
	URL = {https://doi-1org-102eb17w20023.han.amu.edu.pl/10.1090/conm/722/14537},
}

@article {Dummigan_99,
	AUTHOR = {Dummigan, N.},
	TITLE = {Complete {$p$}-descent for {J}acobians of {H}ermitian curves},
	JOURNAL = {Compositio Math.},
	FJOURNAL = {Compositio Mathematica},
	VOLUME = {119},
	YEAR = {1999},
	NUMBER = {2},
	PAGES = {111--132},
	ISSN = {0010-437X},
	MRCLASS = {11G20 (11G10 11G30 11G40 14F30)},
	MRNUMBER = {1723124},
	MRREVIEWER = {Massimo Bertolini},
	DOI = {10.1023/A:1001721808335},
	URL = {https://doi-1org-102eb17w20023.han.amu.edu.pl/10.1023/A:1001721808335},
}


@article {Dummigan_95,
	AUTHOR = {Dummigan, N.},
	TITLE = {The determinants of certain {M}ordell-{W}eil lattices},
	JOURNAL = {Amer. J. Math.},
	FJOURNAL = {American Journal of Mathematics},
	VOLUME = {117},
	YEAR = {1995},
	NUMBER = {6},
	PAGES = {1409--1429},
	ISSN = {0002-9327},
	MRCLASS = {11G05 (11G40)},
	MRNUMBER = {1363073},
	MRREVIEWER = {John W. Jones},
	DOI = {10.2307/2375024},
	URL = {https://doi-1org-102eb17w20023.han.amu.edu.pl/10.2307/2375024},
}

@article {Haastert_Jantzen_Filtrations_crystalline,
	AUTHOR = {Haastert, B. and Jantzen, J. C.},
	TITLE = {Filtrations of symmetric powers via crystalline cohomology},
	JOURNAL = {Geom. Dedicata},
	FJOURNAL = {Geometriae Dedicata},
	VOLUME = {37},
	YEAR = {1991},
	NUMBER = {1},
	PAGES = {45--63},
	ISSN = {0046-5755},
	MRCLASS = {14F30 (20G05)},
	MRNUMBER = {1094227},
	MRREVIEWER = {Jan Stienstra},
	DOI = {10.1007/BF00150404},
	URL = {https://doi-1org-102eb17w20023.han.amu.edu.pl/10.1007/BF00150404},
}

@article {Haastert_Jantzen_Filtrations,
	AUTHOR = {Haastert, B. and Jantzen, J. C.},
	TITLE = {Filtrations of the discrete series of {${\rm SL}_2(q)$} via
	crystalline cohomology},
	JOURNAL = {J. Algebra},
	FJOURNAL = {Journal of Algebra},
	VOLUME = {132},
	YEAR = {1990},
	NUMBER = {1},
	PAGES = {77--103},
	ISSN = {0021-8693},
	MRCLASS = {20G05 (14F30 20G40)},
	MRNUMBER = {1060833},
	MRREVIEWER = {Bhama Srinivasan},
	DOI = {10.1016/0021-8693(90)90253-K},
	URL = {https://doi-1org-102eb17w20023.han.amu.edu.pl/10.1016/0021-8693(90)90253-K},
}


@article {Kontogeorgis_Tsouknidas_Cohomological_HKG,
	AUTHOR = {Kontogeorgis, A. and Tsouknidas, I.},
	TITLE = {A cohomological treatise of {HKG}-covers with applications to
	the {N}ottingham group},
	JOURNAL = {J. Algebra},
	FJOURNAL = {Journal of Algebra},
	VOLUME = {555},
	YEAR = {2020},
	PAGES = {325--345},
	ISSN = {0021-8693},
	MRCLASS = {14H30 (20E18 20J06)},
	MRNUMBER = {4081494},
	MRREVIEWER = {Jos\'{e} Javier Etayo},
	DOI = {10.1016/j.jalgebra.2020.02.037},
	URL = {https://doi-1org-102eb179p0007.han.amu.edu.pl/10.1016/j.jalgebra.2020.02.037},
}


@article {Karanikolopoulos_Kontogeorgis_Autos,
	AUTHOR = {Karanikolopoulos, S. and Kontogeorgis, A.},
	TITLE = {Automorphisms of curves and {W}eierstrass semigroups for
	{H}arbater-{K}atz-{G}abber covers},
	JOURNAL = {Trans. Amer. Math. Soc.},
	FJOURNAL = {Transactions of the American Mathematical Society},
	VOLUME = {371},
	YEAR = {2019},
	NUMBER = {9},
	PAGES = {6377--6402},
	ISSN = {0002-9947},
	MRCLASS = {14H37 (11G20 14H10 14H55 20M14)},
	MRNUMBER = {3937329},
	MRREVIEWER = {Mariana de Almeida Nery Coutinho},
	DOI = {10.1090/tran/7562},
	URL = {https://doi-1org-102eb179p0007.han.amu.edu.pl/10.1090/tran/7562},
}

@article {Obus_Wewers_Cyclic_extensions,
	AUTHOR = {Obus, A. and Wewers, S.},
	TITLE = {Cyclic extensions and the local lifting problem},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {180},
	YEAR = {2014},
	NUMBER = {1},
	PAGES = {233--284},
	ISSN = {0003-486X},
	MRCLASS = {11G30 (11G20 11S15 14H25)},
	MRNUMBER = {3194815},
	MRREVIEWER = {Kevin P. Keating},
	DOI = {10.4007/annals.2014.180.1.5},
	URL = {https://doi-1org-102eb17iw0180.han.amu.edu.pl/10.4007/annals.2014.180.1.5},
}

@incollection {Obus_local_lifting_problem,
	AUTHOR = {Obus, A.},
	TITLE = {The (local) lifting problem for curves},
	BOOKTITLE = {Galois-{T}eichm\"{u}ller theory and arithmetic geometry},
	SERIES = {Adv. Stud. Pure Math.},
	VOLUME = {63},
	PAGES = {359--412},
	PUBLISHER = {Math. Soc. Japan, Tokyo},
	YEAR = {2012},
	MRCLASS = {14H37 (11G20 14G17)},
	MRNUMBER = {3051249},
	MRREVIEWER = {Jeroen Sijsling},
	DOI = {10.2969/aspm/06310359},
	URL = {https://doi-1org-102eb17iw0180.han.amu.edu.pl/10.2969/aspm/06310359},
}

@article {Chinburg_Guralnick_Harbater_local_lifting_for_actions,
	AUTHOR = {Chinburg, T. and Guralnick, R. and Harbater, D.},
	TITLE = {The local lifting problem for actions of finite groups on
	curves},
	JOURNAL = {Ann. Sci. \'{E}c. Norm. Sup\'{e}r. (4)},
	FJOURNAL = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure. Quatri\`eme
	S\'{e}rie},
	VOLUME = {44},
	YEAR = {2011},
	NUMBER = {4},
	PAGES = {537--605},
	ISSN = {0012-9593},
	MRCLASS = {14H37 (12F10 14L30 20B25)},
	MRNUMBER = {2919977},
	MRREVIEWER = {Irene I. Bouw},
	DOI = {10.24033/asens.2150},
	URL = {https://doi-1org-102eb17iw0180.han.amu.edu.pl/10.24033/asens.2150},
}

@article {Chinburg_Guralnick_Harbater_Oort_groups_lifting,
	AUTHOR = {Chinburg, T. and Guralnick, R. and Harbater, D.},
	TITLE = {Oort groups and lifting problems},
	JOURNAL = {Compos. Math.},
	FJOURNAL = {Compositio Mathematica},
	VOLUME = {144},
	YEAR = {2008},
	NUMBER = {4},
	PAGES = {849--866},
	ISSN = {0010-437X},
	MRCLASS = {14L30 (14H37)},
	MRNUMBER = {2441248},
	MRREVIEWER = {Vasily A. Chernecky},
	DOI = {10.1112/S0010437X08003515},
	URL = {https://doi-1org-102eb17iw0180.han.amu.edu.pl/10.1112/S0010437X08003515},
}

@article {Kontogeorgis_Tsouknidas_generating_set_HKG,
	AUTHOR = {Kontogeorgis, A. and Tsouknidas, I.},
	TITLE = {A generating set for the canonical ideal of {HKG}-curves},
	JOURNAL = {Res. Number Theory},
	FJOURNAL = {Research in Number Theory},
	VOLUME = {7},
	YEAR = {2021},
	NUMBER = {1},
	PAGES = {Paper No. 4, 16},
	ISSN = {2522-0160},
	MRCLASS = {14H55},
	MRNUMBER = {4194180},
	MRREVIEWER = {C\'{\i}cero Carvalho},
	DOI = {10.1007/s40993-020-00230-0},
	URL = {https://doi-1org-102eb17iw0180.han.amu.edu.pl/10.1007/s40993-020-00230-0},
}

@book {Arbarello_Griffiths_Geometry_curves_ii,
	AUTHOR = {Arbarello, E. and Cornalba, M. and Griffiths,
	P. A.},
	TITLE = {Geometry of algebraic curves. {V}olume {II}},
	SERIES = {Grundlehren der mathematischen Wissenschaften [Fundamental
	Principles of Mathematical Sciences]},
	VOLUME = {268},
	NOTE = {With a contribution by Joseph Daniel Harris},
	PUBLISHER = {Springer, Heidelberg},
	YEAR = {2011},
	PAGES = {xxx+963},
	ISBN = {978-3-540-42688-2},
	MRCLASS = {14H10 (32G15)},
	MRNUMBER = {2807457},
	MRREVIEWER = {E. Looijenga},
	DOI = {10.1007/978-3-540-69392-5},
	URL = {https://doi.org/10.1007/978-3-540-69392-5},
}

@article {Booher_Pries_Realizing,
	AUTHOR = {Booher, J. and Pries, R.},
	TITLE = {Realizing {A}rtin-{S}chreier covers of curves with minimal
	{N}ewton polygons in positive characteristic},
	JOURNAL = {J. Number Theory},
	FJOURNAL = {Journal of Number Theory},
	VOLUME = {214},
	YEAR = {2020},
	PAGES = {240--250},
	ISSN = {0022-314X},
	MRCLASS = {11G20 (11M38 11T23 14G17 14H30 14H40)},
	MRNUMBER = {4105710},
	MRREVIEWER = {Antonio Rojas Le\'{o}n},
	DOI = {10.1016/j.jnt.2020.04.010},
	URL = {https://doi.org/10.1016/j.jnt.2020.04.010},
}

@article {Booher_Cais_a_numbers,
	AUTHOR = {Booher, J. and Cais, B.},
	TITLE = {{$a$}-numbers of curves in {A}rtin-{S}chreier covers},
	JOURNAL = {Algebra Number Theory},
	FJOURNAL = {Algebra \& Number Theory},
	VOLUME = {14},
	YEAR = {2020},
	NUMBER = {3},
	PAGES = {587--641},
	ISSN = {1937-0652},
	MRCLASS = {14H30 (11G20 14G17 14H40)},
	MRNUMBER = {4113776},
	DOI = {10.2140/ant.2020.14.587},
	URL = {https://doi.org/10.2140/ant.2020.14.587},
}

@article {Borne_Cohomology_of_G_sheaves,
	AUTHOR = {Borne, N.},
	TITLE = {Cohomology of {$G$}-sheaves in positive characteristic},
	JOURNAL = {Adv. Math.},
	FJOURNAL = {Advances in Mathematics},
	VOLUME = {201},
	YEAR = {2006},
	NUMBER = {2},
	PAGES = {454--515},
	ISSN = {0001-8708},
	MRCLASS = {14C35 (11R33 14L30 19D55)},
	MRNUMBER = {2211535},
	MRREVIEWER = {Claudio Pedrini},
	DOI = {10.1016/j.aim.2005.03.002},
	URL = {https://doi.org/10.1016/j.aim.2005.03.002},
}

@article {Kantor_Seress_Large_element_orders,
	AUTHOR = {Kantor, W. M. and Seress, \'{A}.},
	TITLE = {Large element orders and the characteristic of {L}ie-type
	simple groups},
	JOURNAL = {J. Algebra},
	FJOURNAL = {Journal of Algebra},
	VOLUME = {322},
	YEAR = {2009},
	NUMBER = {3},
	PAGES = {802--832},
	ISSN = {0021-8693},
	MRCLASS = {20D06},
	MRNUMBER = {2531224},
	MRREVIEWER = {Timothy C. Burness},
	DOI = {10.1016/j.jalgebra.2009.05.004},
	URL = {https://doi.org/10.1016/j.jalgebra.2009.05.004},
}

@article {Landesman_Lombardo_Surjectivity_Rational_Families,
	AUTHOR = {Landesman, A. and Swaminathan, A. and Tao, J. and
	Xu, Y.},
	TITLE = {Surjectivity of {G}alois representations in rational families
	of abelian varieties},
	NOTE = {With an appendix by D. Lombardo},
	JOURNAL = {Algebra Number Theory},
	FJOURNAL = {Algebra \& Number Theory},
	VOLUME = {13},
	YEAR = {2019},
	NUMBER = {5},
	PAGES = {995--1038},
	ISSN = {1937-0652},
	MRCLASS = {11F80 (11G10 11G30 11N36 11R32 14K15)},
	MRNUMBER = {3981312},
	MRREVIEWER = {Jackson S. Morrow},
	DOI = {10.2140/ant.2019.13.995},
	URL = {https://doi.org/10.2140/ant.2019.13.995},
}

@article {Anni_Dokchitser_Constructing_hyperelliptic,
	AUTHOR = {Anni, S. and Dokchitser, V.},
	TITLE = {Constructing hyperelliptic curves with surjective {G}alois
	representations},
	JOURNAL = {Trans. Amer. Math. Soc.},
	FJOURNAL = {Transactions of the American Mathematical Society},
	VOLUME = {373},
	YEAR = {2020},
	NUMBER = {2},
	PAGES = {1477--1500},
	ISSN = {0002-9947},
	MRCLASS = {11F80 (11G10 11G30 12F12)},
	MRNUMBER = {4068270},
	MRREVIEWER = {Valentijn Zo\"{e} Karemaker},
	DOI = {10.1090/tran/7995},
	URL = {https://doi.org/10.1090/tran/7995},
}

@Article{Yelton_Lifting_images,
	author={Yelton, J.},
	title={Lifting images of standard representations of symmetric groups},
	fjournal={Manuscripta Mathematica},
	journal={Manuscripta Math.},	
	year={2021},
	month={May},
	day={27},
	issn={1432-1785},
	doi={10.1007/s00229-021-01310-w},
	url={https://doi.org/10.1007/s00229-021-01310-w}
}

@article {Landesman_Lifting_Symplectic,
	AUTHOR = {Landesman, A. and Swaminathan, A. A. and Tao, J. and
	Xu, Y.},
	TITLE = {Lifting subgroups of symplectic groups over
	{$\Bbb{Z}/\ell\Bbb{Z}$}},
	JOURNAL = {Res. Number Theory},
	FJOURNAL = {Research in Number Theory},
	VOLUME = {3},
	YEAR = {2017},
	PAGES = {Paper No. 14, 12},
	ISSN = {2522-0160},
	MRCLASS = {11F55},
	MRNUMBER = {3667841},
	MRREVIEWER = {Mehmet Haluk \c{S}eng\"{u}n},
	DOI = {10.1007/s40993-017-0078-6},
	URL = {https://doi.org/10.1007/s40993-017-0078-6},
}

@article {Serre_Tate_Good_reduction,
	AUTHOR = {Serre, J.-P. and Tate, J.},
	TITLE = {Good reduction of abelian varieties},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {88},
	YEAR = {1968},
	PAGES = {492--517},
	ISSN = {0003-486X},
	MRCLASS = {14.51},
	MRNUMBER = {236190},
	MRREVIEWER = {M. J. Greenberg},
	DOI = {10.2307/1970722},
	URL = {https://doi.org/10.2307/1970722},
}

@article {Landesman_Hyperelliptic_curves_maximal,
	AUTHOR = {Landesman, A. and Swaminathan, A. A. and Tao, J. and
	Xu, Y.},
	TITLE = {Hyperelliptic curves with maximal {G}alois action on the
	torsion points of their {J}acobians},
	JOURNAL = {Indiana Univ. Math. J.},
	FJOURNAL = {Indiana University Mathematics Journal},
	VOLUME = {69},
	YEAR = {2020},
	NUMBER = {7},
	PAGES = {2461--2492},
	ISSN = {0022-2518},
	MRCLASS = {11G30 (11F80 11G10 11R32 14J40)},
	MRNUMBER = {4195609},
	DOI = {10.1512/iumj.2020.69.8178},
	URL = {https://doi.org/10.1512/iumj.2020.69.8178},
}

@article {Daniels_Hatley_Ricci_Elliptic_curves,
	AUTHOR = {Daniels, H. B. and Hatley, J. and Ricci, J.},
	TITLE = {Elliptic curves with maximally disjoint division fields},
	JOURNAL = {Acta Arith.},
	FJOURNAL = {Acta Arithmetica},
	VOLUME = {175},
	YEAR = {2016},
	NUMBER = {3},
	PAGES = {211--223},
	ISSN = {0065-1036},
	MRCLASS = {14H52 (11F80)},
	MRNUMBER = {3557121},
	MRREVIEWER = {Rupam Barman},
	DOI = {10.4064/aa8275-7-2016},
	URL = {https://doi.org/10.4064/aa8275-7-2016},
}

@article {Jones_Gl2_reps,
	AUTHOR = {Jones, N.},
	TITLE = {{${\rm GL}_2$}-representations with maximal image},
	JOURNAL = {Math. Res. Lett.},
	FJOURNAL = {Mathematical Research Letters},
	VOLUME = {22},
	YEAR = {2015},
	NUMBER = {3},
	PAGES = {803--839},
	ISSN = {1073-2780},
	MRCLASS = {11G05},
	MRNUMBER = {3350106},
	MRREVIEWER = {Hang Xue},
	DOI = {10.4310/MRL.2015.v22.n3.a10},
	URL = {https://doi.org/10.4310/MRL.2015.v22.n3.a10},
}

@article {Bleher_Poonen_Chinburg_Auto_HKG,
	AUTHOR = {Bleher, F. M. and Chinburg, T. and Poonen, B. and
	Symonds, P.},
	TITLE = {Automorphisms of {H}arbater-{K}atz-{G}abber curves},
	JOURNAL = {Math. Ann.},
	FJOURNAL = {Mathematische Annalen},
	VOLUME = {368},
	YEAR = {2017},
	NUMBER = {1-2},
	PAGES = {811--836},
	ISSN = {0025-5831},
	MRCLASS = {14H37 (14G17 20F29)},
	MRNUMBER = {3651589},
	MRREVIEWER = {Aristides I. Kontogeorgis},
	DOI = {10.1007/s00208-016-1490-2},
	URL = {https://doi.org/10.1007/s00208-016-1490-2},
}

@article {Chevalley_Weil_Uber_verhalten,
	AUTHOR = {Chevalley, C. and Weil, A. and Hecke, E.},
	TITLE = {\"{U}ber das verhalten der integrale 1. gattung bei automorphismen
	des funktionenk\"{o}rpers},
	JOURNAL = {Abh. Math. Sem. Univ. Hamburg},
	FJOURNAL = {Abhandlungen aus dem Mathematischen Seminar der Universit\"{a}t
	Hamburg},
	VOLUME = {10},
	YEAR = {1934},
	NUMBER = {1},
	PAGES = {358--361},
	ISSN = {0025-5858},
	MRCLASS = {DML},
	MRNUMBER = {3069638},
	DOI = {10.1007/BF02940687},
	URL = {https://doi.org/10.1007/BF02940687},
}


@book {Hachenberger_Jungnickel_Topics,
	AUTHOR = {Hachenberger, D. and Jungnickel, D.},
	TITLE = {Topics in {G}alois fields},
	SERIES = {Algorithms and Computation in Mathematics},
	VOLUME = {29},
	PUBLISHER = {Springer, Cham},
	YEAR = {[2020] \copyright 2020},
	PAGES = {xiv+785},
	ISBN = {978-3-030-60804-0; 978-3-030-60806-4},
	MRCLASS = {11Txx (12E20 12Fxx 15B33 94A55)},
	MRNUMBER = {4233161},
	DOI = {10.1007/978-3-030-60806-4},
	URL = {https://doi.org/10.1007/978-3-030-60806-4},
}

@article {Childs_Orzech_On_modular,
	AUTHOR = {Childs, L. N. and Orzech, M.},
	TITLE = {On modular group rings, normal bases, and fixed points},
	JOURNAL = {Amer. Math. Monthly},
	FJOURNAL = {American Mathematical Monthly},
	VOLUME = {88},
	YEAR = {1981},
	NUMBER = {2},
	PAGES = {142--145},
	ISSN = {0002-9890},
	MRCLASS = {12F10},
	MRNUMBER = {606253},
	MRREVIEWER = {H. F. Kreimer},
	DOI = {10.2307/2321137},
	URL = {https://doi.org/10.2307/2321137},
}

@article {Poonen_Gonality_Modular,
	AUTHOR = {Poonen, B.},
	TITLE = {Gonality of modular curves in characteristic {$p$}},
	JOURNAL = {Math. Res. Lett.},
	FJOURNAL = {Mathematical Research Letters},
	VOLUME = {14},
	YEAR = {2007},
	NUMBER = {4},
	PAGES = {691--701},
	ISSN = {1073-2780},
	MRCLASS = {11G18 (14G35 14H51)},
	MRNUMBER = {2335995},
	MRREVIEWER = {Am\'{\i}lcar Pacheco},
	DOI = {10.4310/MRL.2007.v14.n4.a14},
	URL = {https://doi.org/10.4310/MRL.2007.v14.n4.a14},
}

@article {Arbarello_Cornalba_Footnotes,
	AUTHOR = {Arbarello, E. and Cornalba, M.},
	TITLE = {Footnotes to a paper of {B}eniamino {S}egre: ``{O}n the
	modules of polygonal curves and on a complement to the
	{R}iemann existence theorem'' ({I}talian) [{M}ath. {A}nn. {\bf
	100} (1928), 537--551; {J}buch {\bf 54}, 685]},
	JOURNAL = {Math. Ann.},
	FJOURNAL = {Mathematische Annalen},
	VOLUME = {256},
	YEAR = {1981},
	NUMBER = {3},
	PAGES = {341--362},
	ISSN = {0025-5831},
	MRCLASS = {14H10 (14H20)},
	MRNUMBER = {626954},
	MRREVIEWER = {Joseph Harris},
	DOI = {10.1007/BF01679702},
	URL = {https://doi.org/10.1007/BF01679702},
}

@misc{karanikolopoulos2010automorphisms,
	title={{A}utomorphisms of {C}urves and {W}eierstrass semigroups}, 
	author={Karanikolopoulos, S. and Kontogeorgis, A.},
	year={2010},
	eprint={1005.2871},
	archivePrefix={arXiv},
	primaryClass={math.AG},
	note={unpublished},
}

@article {Saltman_Noncrossed_product,
	AUTHOR = {Saltman, D. J.},
	TITLE = {Noncrossed product {$p$}-algebras and {G}alois
	{$p$}-extensions},
	JOURNAL = {J. Algebra},
	FJOURNAL = {Journal of Algebra},
	VOLUME = {52},
	YEAR = {1978},
	NUMBER = {2},
	PAGES = {302--314},
	ISSN = {0021-8693},
	MRCLASS = {16A74 (12A80 12G05)},
	MRNUMBER = {480640},
	MRREVIEWER = {M. E. Keating},
	DOI = {10.1016/0021-8693(78)90240-5},
	URL = {https://doi.org/10.1016/0021-8693(78)90240-5},
}

@article {Valentini_Madan_Automorphisms,
	AUTHOR = {Valentini, R. C. and Madan, M. L.},
	TITLE = {Automorphisms and holomorphic differentials in characteristic~{$p$}},
	JOURNAL = {J. Number Theory},
	FJOURNAL = {Journal of Number Theory},
	VOLUME = {13},
	YEAR = {1981},
	NUMBER = {1},
	PAGES = {106--115},
	ISSN = {0022-314X},
	MRCLASS = {14F10},
	MRNUMBER = {602451},
	DOI = {10.1016/0022-314X(81)90032-9},
	URL = {https://doi.org/10.1016/0022-314X(81)90032-9},
}

@book {Webb_finite_group_representations,
	AUTHOR = {Webb, P.},
	TITLE = {A course in finite group representation theory},
	SERIES = {Cambridge Studies in Advanced Mathematics},
	VOLUME = {161},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {2016},
	PAGES = {xi+325},
	ISBN = {978-1-107-16239-6},
	MRCLASS = {20-02 (20C05)},
	MRNUMBER = {3617363},
	MRREVIEWER = {Stuart Martin},
	DOI = {10.1017/CBO9781316677216},
	URL = {https://doi.org/10.1017/CBO9781316677216},
}

@book {Dornhoff_modular_representation_theory,
	AUTHOR = {Dornhoff, L.},
	TITLE = {Group representation theory. {P}art {B}: {M}odular
	representation theory},
	SERIES = {Pure and Applied Mathematics},
	VOLUME = {7},
	PUBLISHER = {Marcel Dekker, Inc., New York},
	YEAR = {1972},
	PAGES = {vii+pp. 255--511},
	MRCLASS = {20C15 (20C20)},
	MRNUMBER = {0347960},
	MRREVIEWER = {A. Dress},
}

@book {Mollin_ANT,
	AUTHOR = {Mollin, R. A.},
	TITLE = {Algebraic number theory},
	SERIES = {Discrete Mathematics and its Applications (Boca Raton)},
	EDITION = {Second},
	PUBLISHER = {CRC Press, Boca Raton, FL},
	YEAR = {2011},
	PAGES = {xvi+426},
	ISBN = {978-1-4398-4598-1},
	MRCLASS = {11-03 (11Rxx)},
	MRNUMBER = {2779314},
	DOI = {10.1201/b10493},
	URL = {https://doi.org/10.1201/b10493},
}

@article {Elder_valuation_criterion_positive_char,
	AUTHOR = {Elder, G. G.},
	TITLE = {A valuation criterion for normal basis generators in local
	fields of characteristic {$p$}},
	JOURNAL = {Arch. Math. (Basel)},
	FJOURNAL = {Archiv der Mathematik},
	VOLUME = {94},
	YEAR = {2010},
	NUMBER = {1},
	PAGES = {43--47},
	ISSN = {0003-889X},
	MRCLASS = {11S15 (12J10)},
	MRNUMBER = {2581332},
	MRREVIEWER = {Martha Rzedowski-Calder\'{o}n},
	DOI = {10.1007/s00013-009-0076-6},
	URL = {https://doi.org/10.1007/s00013-009-0076-6},
}

@article {Valuation_criterion_normal_basis,
	AUTHOR = {de Smit, B. and Florence, M. and Thomas, L.},
	TITLE = {The valuation criterion for normal basis generators},
	JOURNAL = {Bull. Lond. Math. Soc.},
	FJOURNAL = {Bulletin of the London Mathematical Society},
	VOLUME = {44},
	YEAR = {2012},
	NUMBER = {4},
	PAGES = {729--737},
	ISSN = {0024-6093},
	MRCLASS = {11S20 (20C05)},
	MRNUMBER = {2967240},
	MRREVIEWER = {G. Griffith Elder},
	DOI = {10.1112/blms/bds005},
	URL = {https://doi.org/10.1112/blms/bds005},
}

@article {Harbater_moduli_of_p_covers,
	AUTHOR = {Harbater, D.},
	TITLE = {Moduli of {$p$}-covers of curves},
	JOURNAL = {Comm. Algebra},
	FJOURNAL = {Communications in Algebra},
	VOLUME = {8},
	YEAR = {1980},
	NUMBER = {12},
	PAGES = {1095--1122},
	ISSN = {0092-7872},
	MRCLASS = {14D15 (14H30)},
	MRNUMBER = {579791},
	MRREVIEWER = {David Cox},
	DOI = {10.1080/00927878008822511},
	URL = {https://doi.org/10.1080/00927878008822511},
}

@article {Bleher_Chinburg_Kontogeorgis_Galois_structure,
	AUTHOR = {Bleher, F. M. and Chinburg, T. and Kontogeorgis,
	A.},
	TITLE = {Galois structure of the holomorphic differentials of curves},
	JOURNAL = {J. Number Theory},
	FJOURNAL = {Journal of Number Theory},
	VOLUME = {216},
	YEAR = {2020},
	PAGES = {1--68},
	ISSN = {0022-314X},
	MRCLASS = {14G35 (11G20 14G17 14H05 20C20)},
	MRNUMBER = {4130074},
	DOI = {10.1016/j.jnt.2020.04.015},
	URL = {https://doi.org/10.1016/j.jnt.2020.04.015},
}

@article {Nakajima_Galois_module,
	AUTHOR = {Nakajima, S.},
	TITLE = {Galois module structure of cohomology groups for tamely
	ramified coverings of algebraic varieties},
	JOURNAL = {J. Number Theory},
	FJOURNAL = {Journal of Number Theory},
	VOLUME = {22},
	YEAR = {1986},
	NUMBER = {1},
	PAGES = {115--123},
	ISSN = {0022-314X},
	MRCLASS = {14E20 (11R34 14E40)},
	MRNUMBER = {821138},
	MRREVIEWER = {Lindsay N. Childs},
	DOI = {10.1016/0022-314X(86)90032-6},
	URL = {https://doi.org/10.1016/0022-314X(86)90032-6},
}

@article {Kani_Galois_module,
	AUTHOR = {Kani, E.},
	TITLE = {The {G}alois-module structure of the space of holomorphic
	differentials of a curve},
	JOURNAL = {J. Reine Angew. Math.},
	FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
	Journal]},
	VOLUME = {367},
	YEAR = {1986},
	PAGES = {187--206},
	ISSN = {0075-4102},
	MRCLASS = {14H05 (14F10 14H30)},
	MRNUMBER = {839131},
	MRREVIEWER = {Shoichi Nakajima},
	DOI = {10.1515/crll.1986.367.187},
	URL = {https://doi.org/10.1515/crll.1986.367.187},
}

@book {Washington_Intro_to_cyclotomic,
	AUTHOR = {Washington, L. C.},
	TITLE = {Introduction to cyclotomic fields},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {83},
	EDITION = {Second},
	PUBLISHER = {Springer-Verlag, New York},
	YEAR = {1997},
	PAGES = {xiv+487},
	ISBN = {0-387-94762-0},
	MRCLASS = {11R18 (11-01 11-02 11R23)},
	MRNUMBER = {1421575},
	MRREVIEWER = {T. Mets\"{a}nkyl\"{a}},
	DOI = {10.1007/978-1-4612-1934-7},
	URL = {https://doi.org/10.1007/978-1-4612-1934-7},
}

@article {Huynh_Artin_Schreier_extensions,
	AUTHOR = {Huynh, D. V.},
	TITLE = {Artin-{S}chreier extensions and generalized associated orders},
	JOURNAL = {J. Number Theory},
	FJOURNAL = {Journal of Number Theory},
	VOLUME = {136},
	YEAR = {2014},
	PAGES = {28--45},
	ISSN = {0022-314X},
	MRCLASS = {11R33 (11S15)},
	MRNUMBER = {3145322},
	MRREVIEWER = {Nigel Byott},
	DOI = {10.1016/j.jnt.2013.09.009},
	URL = {https://doi.org/10.1016/j.jnt.2013.09.009},
}

@article {Tate_residues_differentials_curves,
	AUTHOR = {Tate, J.},
	TITLE = {Residues of differentials on curves},
	JOURNAL = {Ann. Sci. \'{E}cole Norm. Sup. (4)},
	FJOURNAL = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure. Quatri\`eme
	S\'{e}rie},
	VOLUME = {1},
	YEAR = {1968},
	PAGES = {149--159},
	ISSN = {0012-9593},
	MRCLASS = {14.20},
	MRNUMBER = {227171},
	MRREVIEWER = {R. L. Knighten},
	URL = {http://www.numdam.org/item?id=ASENS_1968_4_1_1_149_0},
}

@incollection {Hubl_residual_representation,
	AUTHOR = {H\"{u}bl, R.},
	TITLE = {Residual representation of algebraic-geometric codes},
	NOTE = {Effective methods in algebraic and analytic geometry, 2000
	(Krak\'{o}w)},
	JOURNAL = {Univ. Iagel. Acta Math.},
	FJOURNAL = {Universitatis Iagellonicae. Acta Mathematica},
	NUMBER = {39},
	YEAR = {2001},
	PAGES = {25--48},
	ISSN = {0083-4386},
	MRCLASS = {14G50 (14F10 94B27)},
	MRNUMBER = {1886927},
	MRREVIEWER = {Peter Br\"{u}ckmann},
}

@article {Zannier_traces_diff_forms,
	AUTHOR = {Zannier, U.},
	TITLE = {A note on traces of differential forms},
	JOURNAL = {J. Pure Appl. Algebra},
	FJOURNAL = {Journal of Pure and Applied Algebra},
	VOLUME = {142},
	YEAR = {1999},
	NUMBER = {1},
	PAGES = {91--97},
	ISSN = {0022-4049},
	MRCLASS = {13N05 (14F10)},
	MRNUMBER = {1716049},
	MRREVIEWER = {Reinhold H\"{u}bl},
	DOI = {10.1016/S0022-4049(98)00045-0},
	URL = {https://doi.org/10.1016/S0022-4049(98)00045-0},
}


@article {Kock_galois_structure,
	AUTHOR = {K\"{o}ck, B.},
	TITLE = {Galois structure of {Z}ariski cohomology for weakly ramified
	covers of curves},
	JOURNAL = {Amer. J. Math.},
	FJOURNAL = {American Journal of Mathematics},
	VOLUME = {126},
	YEAR = {2004},
	NUMBER = {5},
	PAGES = {1085--1107},
	ISSN = {0002-9327},
	MRCLASS = {11R33 (11G30 14H30)},
	MRNUMBER = {2089083},
	MRREVIEWER = {Nigel Byott},
	URL =
	{http://muse.jhu.edu/journals/american_journal_of_mathematics/v126/126.5k"ock.pdf},
}

@article {WardMarques_HoloDiffs,
	AUTHOR = {Marques, S. and Ward, K.},
	TITLE = {Holomorphic differentials of certain solvable covers of the
	projective line over a perfect field},
	JOURNAL = {Math. Nachr.},
	FJOURNAL = {Mathematische Nachrichten},
	VOLUME = {291},
	YEAR = {2018},
	NUMBER = {13},
	PAGES = {2057--2083},
	ISSN = {0025-584X},
	MRCLASS = {11G20 (11R58 14H05)},
	MRNUMBER = {3858677},
	MRREVIEWER = {Valentijn Zo\"{e} Karemaker},
	DOI = {10.1002/mana.201500347},
	URL = {https://doi.org/10.1002/mana.201500347},
}

@article {CasselsSchinzel_Selmers_conjecture,
	AUTHOR = {Cassels, J. W. S. and Schinzel, A.},
	TITLE = {Selmer's conjecture and families of elliptic curves},
	JOURNAL = {Bull. London Math. Soc.},
	FJOURNAL = {The Bulletin of the London Mathematical Society},
	VOLUME = {14},
	YEAR = {1982},
	NUMBER = {4},
	PAGES = {345--348},
	ISSN = {0024-6093},
	MRCLASS = {14K07 (10B10 14G05)},
	MRNUMBER = {663485},
	MRREVIEWER = {M. Bashmakov},
	DOI = {10.1112/blms/14.4.345},
	URL = {https://doi.org/10.1112/blms/14.4.345},
}

@book {szamuely_galois_fundamental,
	AUTHOR = {Szamuely, T.},
	TITLE = {Galois groups and fundamental groups},
	SERIES = {Cambridge Studies in Advanced Mathematics},
	VOLUME = {117},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {2009},
	PAGES = {x+270},
	ISBN = {978-0-521-88850-9},
	MRCLASS = {14H30 (11-02 12F10 14G32)},
	MRNUMBER = {2548205},
	MRREVIEWER = {Swaminathan Subramanian},
	DOI = {10.1017/CBO9780511627064},
	URL = {https://doi.org/10.1017/CBO9780511627064},
}

@article {harbater_stevenson_patching_thickening,
	AUTHOR = {Harbater, D. and Stevenson, K. F.},
	TITLE = {Patching and thickening problems},
	JOURNAL = {J. Algebra},
	FJOURNAL = {Journal of Algebra},
	VOLUME = {212},
	YEAR = {1999},
	NUMBER = {1},
	PAGES = {272--304},
	ISSN = {0021-8693},
	MRCLASS = {14B10 (12F12 14B12 14H30)},
	MRNUMBER = {1670658},
	MRREVIEWER = {Hiroaki Nakamura},
	DOI = {10.1006/jabr.1998.7574},
	URL = {https://doi.org/10.1006/jabr.1998.7574},
}

@article {chinburg_epsilon_constants,
	AUTHOR = {Chinburg, T. and Erez, B. and Pappas, G. and Taylor,
	M. J.},
	TITLE = {{$\epsilon$}-constants and the {G}alois structure of de {R}ham
	cohomology},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {146},
	YEAR = {1997},
	NUMBER = {2},
	PAGES = {411--473},
	ISSN = {0003-486X},
	MRCLASS = {14F40 (11G09 11R33)},
	MRNUMBER = {1477762},
	MRREVIEWER = {Nigel Byott},
	DOI = {10.2307/2952466},
	URL = {https://doi.org/10.2307/2952466},
}

@article {apostol_resultant_cyclotomic,
	AUTHOR = {Apostol, T. M.},
	TITLE = {Resultants of cyclotomic polynomials},
	JOURNAL = {Proc. Amer. Math. Soc.},
	FJOURNAL = {Proceedings of the American Mathematical Society},
	VOLUME = {24},
	YEAR = {1970},
	PAGES = {457--462},
	ISSN = {0002-9939},
	MRCLASS = {10.76},
	MRNUMBER = {251010},
	MRREVIEWER = {L. Carlitz},
	DOI = {10.2307/2037387},
	URL = {https://doi.org/10.2307/2037387},
}

@incollection {divisibility_l_polynomials,
	AUTHOR = {Blanco-Chac\'{o}n, I. and Chapman, R. and Fordham, S. and McGuire,
	G.},
	TITLE = {Divisibility of {L}-polynomials for a family of curves},
	BOOKTITLE = {Contemporary developments in finite fields and applications},
	PAGES = {1--10},
	PUBLISHER = {World Sci. Publ., Hackensack, NJ},
	YEAR = {2016},
	MRCLASS = {11T06 (11T23)},
	MRNUMBER = {3587254},
	MRREVIEWER = {Alina Ostafe},
}

@article {divisibility_l_polynomials_as,
	AUTHOR = {McGuire, G. and Y\i lmaz, E. S.},
	TITLE = {Divisibility of {L}-polynomials for a family of
	{A}rtin-{S}chreier curves},
	JOURNAL = {J. Pure Appl. Algebra},
	FJOURNAL = {Journal of Pure and Applied Algebra},
	VOLUME = {223},
	YEAR = {2019},
	NUMBER = {8},
	PAGES = {3341--3358},
	ISSN = {0022-4049},
	MRCLASS = {11G20 (14H05)},
	MRNUMBER = {3926215},
	MRREVIEWER = {Yves Aubry},
	DOI = {10.1016/j.jpaa.2018.11.005},
	URL = {https://doi.org/10.1016/j.jpaa.2018.11.005},
}

@article {further_cross_correlation,
	AUTHOR = {Johansen, A. and Helleseth, T. and Kholosha, A.},
	TITLE = {Further results on {$m$}-sequences with five-valued cross
	correlation},
	JOURNAL = {IEEE Trans. Inform. Theory},
	FJOURNAL = {Institute of Electrical and Electronics Engineers.
	Transactions on Information Theory},
	VOLUME = {55},
	YEAR = {2009},
	NUMBER = {12},
	PAGES = {5792--5802},
	ISSN = {0018-9448},
	MRCLASS = {94A55},
	MRNUMBER = {2597195},
	DOI = {10.1109/TIT.2009.2032854},
	URL = {https://doi.org/10.1109/TIT.2009.2032854},
}

@article {decomposing_jacobians,
	AUTHOR = {Ahmadi, O. and McGuire, G. and Rojas-Le\'{o}n, A.},
	TITLE = {Decomposing {J}acobians of curves over finite fields in the
	absence of algebraic structure},
	JOURNAL = {J. Number Theory},
	FJOURNAL = {Journal of Number Theory},
	VOLUME = {156},
	YEAR = {2015},
	PAGES = {414--431},
	ISSN = {0022-314X},
	MRCLASS = {14G15 (11M38 14G10)},
	MRNUMBER = {3360347},
	MRREVIEWER = {Yves Aubry},
	DOI = {10.1016/j.jnt.2015.04.014},
	URL = {https://doi.org/10.1016/j.jnt.2015.04.014},
}

@article {Kock_galois_structure,
	AUTHOR = {K\"{o}ck, B.},
	TITLE = {Galois structure of {Z}ariski cohomology for weakly ramified
	covers of curves},
	JOURNAL = {Amer. J. Math.},
	FJOURNAL = {American Journal of Mathematics},
	VOLUME = {126},
	YEAR = {2004},
	NUMBER = {5},
	PAGES = {1085--1107},
	ISSN = {0002-9327},
	MRCLASS = {11R33 (11G30 14H30)},
	MRNUMBER = {2089083},
	MRREVIEWER = {Nigel Byott},
	URL =
	{http://muse.jhu.edu/journals/american_journal_of_mathematics/v126/126.5k"ock.pdf},
}

@article {elkin_pries_ekedahl_oort,
	AUTHOR = {Elkin, A. and Pries, R.},
	TITLE = {Ekedahl-{O}ort strata of hyperelliptic curves in
	characteristic 2},
	JOURNAL = {Algebra Number Theory},
	FJOURNAL = {Algebra \& Number Theory},
	VOLUME = {7},
	YEAR = {2013},
	NUMBER = {3},
	PAGES = {507--532},
	ISSN = {1937-0652},
	MRCLASS = {11G30 (14G17 14H45)},
	MRNUMBER = {3095219},
	MRREVIEWER = {Fabien Pazuki},
	DOI = {10.2140/ant.2013.7.507},
	URL = {https://doi.org/10.2140/ant.2013.7.507},
}

@article {achinger_wild_ramification,
	AUTHOR = {Achinger, P.},
	TITLE = {Wild ramification and {$K(\pi, 1)$} spaces},
	JOURNAL = {Invent. Math.},
	FJOURNAL = {Inventiones Mathematicae},
	VOLUME = {210},
	YEAR = {2017},
	NUMBER = {2},
	PAGES = {453--499},
	ISSN = {0020-9910},
	MRCLASS = {14F35 (14F20 14G22 14R10)},
	MRNUMBER = {3714509},
	MRREVIEWER = {Enlin Yang},
	DOI = {10.1007/s00222-017-0733-5},
	URL = {https://doi.org/10.1007/s00222-017-0733-5},
}

@article{Ohshita2020,
	title = "Asymptotic lower bound of class numbers along a {G}alois representation",
	journal = "Journal of Number Theory",
	volume = "211",
	pages = "95 - 112",
	year = "2020",
	issn = "0022-314X",
	doi = "https://doi.org/10.1016/j.jnt.2019.09.024",
	url = "http://www.sciencedirect.com/science/article/pii/S0022314X19303567",
	author = "Ohshita, T.",
}

@book{Hindry_Silverman,
	AUTHOR = {Hindry, M. and Silverman, J. H.},
	TITLE = {Diophantine geometry},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {201},
	NOTE = {An introduction},
	PUBLISHER = {Springer-Verlag, New York},
	YEAR = {2000},
	PAGES = {xiv+558},
	ISBN = {0-387-98975-7; 0-387-98981-1},
	MRCLASS = {11Gxx (11-02 11G10 11G30 11G50 14G25)},
	MRNUMBER = {1745599},
	MRREVIEWER = {Dino J. Lorenzini},
	DOI = {10.1007/978-1-4612-1210-2},
	URL = {https://doi.org/10.1007/978-1-4612-1210-2},
}

@book{Lan_arithmetic_compactifications,
	AUTHOR = {Lan, K.-W,},
	TITLE = {Arithmetic compactifications of {PEL}-type {S}himura
	varieties},
	SERIES = {London Mathematical Society Monographs Series},
	VOLUME = {36},
	PUBLISHER = {Princeton University Press, Princeton, NJ},
	YEAR = {2013},
	PAGES = {xxvi+561},
	ISBN = {978-0-691-15654-5},
	MRCLASS = {14G35 (11G18 14D23 14M27)},
	MRNUMBER = {3186092},
	MRREVIEWER = {Rolf Berndt},
	DOI = {10.1515/9781400846016},
	URL = {https://doi.org/10.1515/9781400846016},
}

@article {Clark_Xarles_local_bounds,
	AUTHOR = {Clark, P. L. and Xarles, X.},
	TITLE = {Local bounds for torsion points on abelian varieties},
	JOURNAL = {Canad. J. Math.},
	FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
	Math\'{e}matiques},
	VOLUME = {60},
	YEAR = {2008},
	NUMBER = {3},
	PAGES = {532--555},
	ISSN = {0008-414X},
	MRCLASS = {11G10 (11G25 14K15)},
	MRNUMBER = {2414956},
	MRREVIEWER = {Ivica Gusi\'{c}},
	DOI = {10.4153/CJM-2008-026-x},
	URL = {https://doi.org/10.4153/CJM-2008-026-x},
}

@article {Oort_CM_liftings,
	AUTHOR = {Oort, F.},
	TITLE = {C{M}-liftings of abelian varieties},
	JOURNAL = {J. Algebraic Geom.},
	FJOURNAL = {Journal of Algebraic Geometry},
	VOLUME = {1},
	YEAR = {1992},
	NUMBER = {1},
	PAGES = {131--146},
	ISSN = {1056-3911},
	MRCLASS = {14K22 (14K15)},
	MRNUMBER = {1129842},
	MRREVIEWER = {Min Ho Lee},
}

@book {Chai_Conrad_CM_and_lifting_problems,
	AUTHOR = {Chai, Ch.-L. and Conrad, B. and Oort, F.},
	TITLE = {Complex multiplication and lifting problems},
	SERIES = {Mathematical Surveys and Monographs},
	VOLUME = {195},
	PUBLISHER = {American Mathematical Society, Providence, RI},
	YEAR = {2014},
	PAGES = {x+387},
	ISBN = {978-1-4704-1014-8},
	MRCLASS = {14K22 (11G15 14D15 14K02 14K15 14L05)},
	MRNUMBER = {3137398},
	MRREVIEWER = {Mihran Papikian},
}

@article {Raynaud_schemas_ppp,
	AUTHOR = {Raynaud, M.},
	TITLE = {Sch\'{e}mas en groupes de type {$(p,\dots, p)$}},
	JOURNAL = {Bull. Soc. Math. France},
	FJOURNAL = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de France},
	VOLUME = {102},
	YEAR = {1974},
	PAGES = {241--280},
	ISSN = {0037-9484},
	MRCLASS = {14L20 (14L25)},
	MRNUMBER = {419467},
	MRREVIEWER = {F. Oort},
	URL = {http://www.numdam.org/item?id=BSMF_1974__102__241_0},
}

@article {Hortsch_canonical_representation,
	AUTHOR = {Hortsch, R.},
	TITLE = {On the canonical representation of curves in positive
	characteristic},
	JOURNAL = {New York J. Math.},
	FJOURNAL = {New York Journal of Mathematics},
	VOLUME = {18},
	YEAR = {2012},
	PAGES = {911--924},
	MRCLASS = {14G17 (11G05)},
	MRNUMBER = {3007205},
	MRREVIEWER = {Rachel J. Pries},
	URL = {http://nyjm.albany.edu:8000/j/2012/18_911.html},
}

@article{Ishii_trace, 
	title={Trace of {F}robenius endomorphism of an elliptic curve with complex multiplication},
	volume={70},
	DOI={10.1017/S0004972700035875},
	number={1},
	journal={Bulletin of the Australian Mathematical Society},
	publisher={Cambridge University Press},
	author={Ishii, N.},
	year={2004},
	pages={125--142}
}

@article {Conrad_Chevalley,
	AUTHOR = {Conrad, B.},
	TITLE = {A modern proof of {C}hevalley's theorem on algebraic groups},
	JOURNAL = {J. Ramanujan Math. Soc.},
	FJOURNAL = {Journal of the Ramanujan Mathematical Society},
	VOLUME = {17},
	YEAR = {2002},
	NUMBER = {1},
	PAGES = {1--18},
	ISSN = {0970-1249},
	MRCLASS = {20G15 (11H99 14K05 14L15)},
	MRNUMBER = {1906417},
	MRREVIEWER = {James E. Humphreys},
}

@book {Stichtenoth_algebraic_function_fields,
	AUTHOR = {Stichtenoth, H.},
	TITLE = {Algebraic function fields and codes},
	SERIES = {Universitext},
	PUBLISHER = {Springer-Verlag, Berlin},
	YEAR = {1993},
	PAGES = {x+260},
	ISBN = {3-540-56489-6},
	MRCLASS = {14H05 (11R58 11T71 14G15 94B27)},
	MRNUMBER = {1251961},
	MRREVIEWER = {R. F. Lax},
}

@incollection {Pries_short_guide,
	AUTHOR = {Pries, R.},
	TITLE = {A short guide to {$p$}-torsion of abelian varieties in
	characteristic {$p$}},
	BOOKTITLE = {Computational arithmetic geometry},
	SERIES = {Contemp. Math.},
	VOLUME = {463},
	PAGES = {121--129},
	PUBLISHER = {Amer. Math. Soc., Providence, RI},
	YEAR = {2008},
	MRCLASS = {11G15 (11G10 14K10)},
	MRNUMBER = {2459994},
	MRREVIEWER = {Adrian Vasiu},
	DOI = {10.1090/conm/463/09051},
	URL = {https://doi.org/10.1090/conm/463/09051},
}

@book {FWGSS1986,
	AUTHOR = {Faltings, G. and W\"ustholz, G. and Grunewald, F. and
	Schappacher, N. and Stuhler, U.},
	TITLE = {Rational points},
	SERIES = {Aspects of Mathematics, E6},
	EDITION = {Second},
	NOTE = {Papers from the seminar held at the Max-Planck-Institut f\"ur
	Mathematik, Bonn/Wuppertal, 1983/1984},
	PUBLISHER = {Friedr. Vieweg \& Sohn, Braunschweig},
	YEAR = {1986},
	PAGES = {vi+268},
	ISBN = {3-528-18593-7},
	MRCLASS = {11D41 (11G35 14G05 14H25 14K15)},
	MRNUMBER = {863887},
	URL = {https://doi.org/10.1007/978-3-663-06812-9},
}

@article {Zarhin1985,
	AUTHOR = {Zarhin, Yu. G.},
	TITLE = {A finiteness theorem for unpolarized abelian varieties over
	number fields with prescribed places of bad reduction},
	JOURNAL = {Invent. Math.},
	FJOURNAL = {Inventiones Mathematicae},
	VOLUME = {79},
	YEAR = {1985},
	NUMBER = {2},
	PAGES = {309--321},
	ISSN = {0020-9910},
	MRCLASS = {14K15 (11G10)},
	MRNUMBER = {778130},
	MRREVIEWER = {Gerd Faltings},
	URL = {https://doi.org/10.1007/BF01388976},
}

@article {JiQin_CM_elliptic_curves_and_primes,
	AUTHOR = {Ji, Q. and Qin, H.},
	TITLE = {C{M} elliptic curves and primes captured by quadratic
	polynomials},
	JOURNAL = {Asian J. Math.},
	FJOURNAL = {Asian Journal of Mathematics},
	VOLUME = {18},
	YEAR = {2014},
	NUMBER = {4},
	PAGES = {707--726},
	ISSN = {1093-6106},
	MRCLASS = {11N32 (11G05 11G15)},
	MRNUMBER = {3275725},
	MRREVIEWER = {Jordi Gu\`ardia},
	DOI = {10.4310/AJM.2014.v18.n4.a7},
	URL = {https://doi.org/10.4310/AJM.2014.v18.n4.a7},
}

@incollection {JongNoot_jacobians,
	AUTHOR = {de Jong, J. and Noot, R.},
	TITLE = {Jacobians with complex multiplication},
	BOOKTITLE = {Arithmetic algebraic geometry ({T}exel, 1989)},
	SERIES = {Progr. Math.},
	VOLUME = {89},
	PAGES = {177--192},
	PUBLISHER = {Birkh\"{a}user Boston, Boston, MA},
	YEAR = {1991},
	MRCLASS = {11G15 (14G35 14H40)},
	MRNUMBER = {1085259},
	MRREVIEWER = {Ehud de Shalit},
}

@article {Blake_deuring_criterion,
	AUTHOR = {Blake, C.},
	TITLE = {A {D}euring criterion for abelian varieties},
	JOURNAL = {Bull. Lond. Math. Soc.},
	FJOURNAL = {Bulletin of the London Mathematical Society},
	VOLUME = {46},
	YEAR = {2014},
	NUMBER = {6},
	PAGES = {1256--1263},
	ISSN = {0024-6093},
	MRCLASS = {11G10 (11G15)},
	MRNUMBER = {3291261},
	MRREVIEWER = {James H. Stankewicz},
	DOI = {10.1112/blms/bdu079},
	URL = {https://doi.org/10.1112/blms/bdu079},
}

@article {JouxMorain95,
	AUTHOR = {Joux, A. and Morain, F.},
	TITLE = {Sur les sommes de caract\`eres li\'{e}es aux courbes elliptiques \`a
	multiplication complexe},
	JOURNAL = {J. Number Theory},
	FJOURNAL = {Journal of Number Theory},
	VOLUME = {55},
	YEAR = {1995},
	NUMBER = {1},
	PAGES = {108--128},
	ISSN = {0022-314X},
	MRCLASS = {11L10 (11G05 11L40)},
	MRNUMBER = {1361563},
	MRREVIEWER = {Dimitrios Poulakis},
	DOI = {10.1006/jnth.1995.1131},
	URL = {https://doi.org/10.1006/jnth.1995.1131},
}

@book {EGAIII,
    AUTHOR = {Grothendieck, A. and Dieudonn\'{e}, J. A.},
     TITLE = {El\'{e}ments de g\'{e}om\'{e}trie alg\'{e}brique. {III}},
    SERIES = {Pub. Math. IHES},
    VOLUME = {166},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {1971},
     PAGES = {ix+466},
      ISBN = {3-540-05113-9; 0-387-05113-9},
   MRCLASS = {14-02 (14A15 14F05)},
  MRNUMBER = {3075000},
}

@book {Neukirch_ANT,
	AUTHOR = {Neukirch, J.},
	TITLE = {Algebraic number theory},
	SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
	Principles of Mathematical Sciences]},
	VOLUME = {322},
	NOTE = {Translated from the 1992 German original and with a note by
	Norbert Schappacher,
	With a foreword by G. Harder},
	PUBLISHER = {Springer-Verlag, Berlin},
	YEAR = {1999},
	PAGES = {xviii+571},
	ISBN = {3-540-65399-6},
	MRCLASS = {11Rxx (11-02 11S15 11S31 14C40)},
	MRNUMBER = {1697859},
	MRREVIEWER = {Cornelius Greither},
	DOI = {10.1007/978-3-662-03983-0},
	URL = {https://doi.org/10.1007/978-3-662-03983-0},
}

@article {Qin_anomalous,
	AUTHOR = {Qin, H.},
	TITLE = {Anomalous primes of the elliptic curve {$E_D\colon
	y^2=x^3+D$}},
	JOURNAL = {Proc. Lond. Math. Soc. (3)},
	FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
	VOLUME = {112},
	YEAR = {2016},
	NUMBER = {2},
	PAGES = {415--453},
	ISSN = {0024-6115},
	MRCLASS = {11G05 (11G15 11R09 14G25)},
	MRNUMBER = {3471254},
	MRREVIEWER = {Matthew A. Papanikolas},
	DOI = {10.1112/plms/pdv072},
	URL = {https://doi.org/10.1112/plms/pdv072},
}

@article {Sutherland_computing_images,
    AUTHOR = {Sutherland, A. V.},
     TITLE = {Computing images of {G}alois representations attached to
              elliptic curves},
   JOURNAL = {Forum Math. Sigma},
  FJOURNAL = {Forum of Mathematics. Sigma},
    VOLUME = {4},
      YEAR = {2016},
     PAGES = {e4, 79},
   MRCLASS = {11G05 (11F80 11G20 11Y16)},
  MRNUMBER = {3482279},
MRREVIEWER = {Susan L. Schmoyer},
       DOI = {10.1017/fms.2015.33},
       URL = {https://doi.org/10.1017/fms.2015.33},
}

@article {Cartier_nouvelle_operation,
    AUTHOR = {Cartier, P.},
     TITLE = {Une nouvelle op\'{e}ration sur les formes diff\'{e}rentielles},
   JOURNAL = {C. R. Acad. Sci. Paris},
  FJOURNAL = {Comptes Rendus Hebdomadaires des S\'{e}ances de l'Acad\'{e}mie des
              Sciences},
    VOLUME = {244},
      YEAR = {1957},
     PAGES = {426--428},
      ISSN = {0001-4036},
   MRCLASS = {09.3X},
  MRNUMBER = {84497},
MRREVIEWER = {T. Nakayama},
}

@misc{achinger2017liftability,
    title={Liftability of the {F}robenius morphism and images of toric varieties},
    author={Achinger, P. and Witaszek, J. and Zdanowicz, M.},
    year={2017},
    eprint={1708.03777},
    archivePrefix={arXiv},
    primaryClass={math.AG}
}

@article {Oda_first_de_rham,
    AUTHOR = {Oda, T.},
     TITLE = {The first de {R}ham cohomology group and {D}ieudonn\'{e} modules},
   JOURNAL = {Ann. Sci. \'{E}cole Norm. Sup. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure. Quatri\`eme
              S\'{e}rie},
    VOLUME = {2},
      YEAR = {1969},
     PAGES = {63--135},
      ISSN = {0012-9593},
   MRCLASS = {14.55},
  MRNUMBER = {0241435},
MRREVIEWER = {J. S. Milne},
       URL = {http://www.numdam.org/item?id=ASENS_1969_4_2_1_63_0},
}

@book {Voisin_hodge_book_I,
    AUTHOR = {Voisin, C.},
     TITLE = {Hodge theory and complex algebraic geometry. {I}},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {76},
      NOTE = {Translated from the French original by Leila Schneps},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {2002},
     PAGES = {x+322},
      ISBN = {0-521-80260-1},
   MRCLASS = {32J25 (14C30 14D07 32G20)},
  MRNUMBER = {1967689},
MRREVIEWER = {Javier A. Fern\'{a}ndez},
       DOI = {10.1017/CBO9780511615344},
       URL = {https://doi.org/10.1017/CBO9780511615344},
}

@article {Garnek_equivariant,
	AUTHOR = {Garnek, J.},
	TITLE = {Equivariant splitting of the {H}odge-de {R}ham exact sequence},
	JOURNAL = {Math. Z.},
	FJOURNAL = {Mathematische Zeitschrift},
	VOLUME = {300},
	YEAR = {2022},
	NUMBER = {2},
	PAGES = {1917--1938},
	ISSN = {0025-5874},
	MRCLASS = {14F40 (14G17 14H37)},
	MRNUMBER = {4363802},
	DOI = {10.1007/s00209-021-02839-y},
	URL = {https://doi.org/10.1007/s00209-021-02839-y},
}

@article {Garnek_class_numbers,
    AUTHOR = {Garnek, J.},
     TITLE = {On class numbers of division fields of abelian varieties},
   JOURNAL = {J. Th\'eor. Nombres Bordeaux},
  FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
    VOLUME = {31},
      YEAR = {2019},
    NUMBER = {1},
     PAGES = {227--242},
}

@article {Kummer_waluacja_symbolu,
    AUTHOR = {Kummer, E. E.},
     TITLE = {\"{U}ber die {E}rg\"{a}nzungss\"{a}tze zu den allgemeinen
              {R}eciprocit\"{a}tsgesetzen},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {44},
      YEAR = {1852},
     PAGES = {93--146},
      ISSN = {0075-4102},
   MRCLASS = {DML},
  MRNUMBER = {1578793},
       DOI = {10.1515/crll.1852.44.93},
       URL = {https://doi.org/10.1515/crll.1852.44.93},
}

@article {Nakajima_Automorphism,
    AUTHOR = {Nakajima, S.},
     TITLE = {Action of an automorphism of order {$p$} on cohomology groups
              of an algebraic curve},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {42},
      YEAR = {1986},
    NUMBER = {1},
     PAGES = {85--94},
      ISSN = {0022-4049},
   MRCLASS = {14H30 (14E20)},
  MRNUMBER = {852320},
MRREVIEWER = {K. Kiyek},
       DOI = {10.1016/0022-4049(86)90062-9},
       URL = {https://doi.org/10.1016/0022-4049(86)90062-9},
}

@article {Pop_OortConjecture,
    AUTHOR = {Pop, F.},
     TITLE = {The {O}ort conjecture on lifting covers of curves},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {180},
      YEAR = {2014},
    NUMBER = {1},
     PAGES = {285--322},
      ISSN = {0003-486X},
   MRCLASS = {11G05 (11S15 14G32)},
  MRNUMBER = {3194816},
MRREVIEWER = {Konstantinos Draziotis},
       DOI = {10.4007/annals.2014.180.1.6},
       URL = {https://doi.org/10.4007/annals.2014.180.1.6},
}

@book {Messing_Crystals,
    AUTHOR = {Messing, W.},
     TITLE = {The crystals associated to {B}arsotti-{T}ate groups: with
              applications to abelian schemes},
    SERIES = {Lecture Notes in Mathematics, Vol. 264},
 PUBLISHER = {Springer-Verlag, Berlin-New York},
      YEAR = {1972},
     PAGES = {iii+190},
   MRCLASS = {14L05 (14B20 14D15 14F30 14K10)},
  MRNUMBER = {0347836},
MRREVIEWER = {F. Oort},
}

@article {CornelissenKato2003,
    AUTHOR = {Cornelissen, G. and Kato, F.},
     TITLE = {Equivariant deformation of {M}umford curves and of ordinary
              curves in positive characteristic},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {116},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {431--470},
      ISSN = {0012-7094},
   MRCLASS = {14G22 (14D15 14H37)},
  MRNUMBER = {1958094},
MRREVIEWER = {Letterio Gatto},
       DOI = {10.1215/S0012-7094-03-11632-4},
       URL = {https://doi.org/10.1215/S0012-7094-03-11632-4},
}

@article {KronbergSoomroTop,
    AUTHOR = {Kronberg, M. and Soomro, M. A. and Top, J.},
     TITLE = {Twists of elliptic curves},
   JOURNAL = {SIGMA Symmetry Integrability Geom. Methods Appl.},
  FJOURNAL = {SIGMA. Symmetry, Integrability and Geometry. Methods and
              Applications},
    VOLUME = {13},
      YEAR = {2017},
     PAGES = {Paper No. 083, 13},
      ISSN = {1815-0659},
   MRCLASS = {11G05 (11G25 14G17 14H52)},
  MRNUMBER = {3715838},
MRREVIEWER = {Nathan Kaplan},
       DOI = {10.3842/SIGMA.2017.083},
       URL = {https://doi.org/10.3842/SIGMA.2017.083},
}

@misc{Milne_AVs,
author={Milne, J. S.},
title={Abelian Varieties (v2.00)},
year={2008},
note={Available at www.jmilne.org/math/},
pages={166+vi}
}

@article {Chinburg1994,
    AUTHOR = {Chinburg, T.},
     TITLE = {Galois structure of de {R}ham cohomology of tame covers of
              schemes},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {139},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {443--490},
      ISSN = {0003-486X},
   MRCLASS = {11R33 (14F40 14G10)},
  MRNUMBER = {1274097},
MRREVIEWER = {Boas Erez},
       DOI = {10.2307/2946586},
       URL = {https://doi.org/10.2307/2946586},
}

@article {Kock2004,
    AUTHOR = {K\"{o}ck, B.},
     TITLE = {Galois structure of {Z}ariski cohomology for weakly ramified
              covers of curves},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {126},
      YEAR = {2004},
    NUMBER = {5},
     PAGES = {1085--1107},
      ISSN = {0002-9327},
   MRCLASS = {11R33 (11G30 14H30)},
  MRNUMBER = {2089083},
MRREVIEWER = {Nigel Byott},
       URL =
              {http://muse.jhu.edu/journals/american_journal_of_mathematics/v126/126.5k"ock.pdf},
}

@article {DeligneIllusie_relevements,
    AUTHOR = {Deligne, P. and Illusie, L.},
     TITLE = {Rel\`evements modulo {$p^2$} et d\'{e}composition du complexe de de
              {R}ham},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {89},
      YEAR = {1987},
    NUMBER = {2},
     PAGES = {247--270},
      ISSN = {0020-9910},
   MRCLASS = {14F40 (14C30)},
  MRNUMBER = {894379},
MRREVIEWER = {Thomas Zink},
       DOI = {10.1007/BF01389078},
       URL = {https://doi.org/10.1007/BF01389078},
}

@article {PriesZhu_p_rank_AS,
    AUTHOR = {Pries, R. and Zhu, H. J.},
     TITLE = {The {$p$}-rank stratification of {A}rtin-{S}chreier curves},
   JOURNAL = {Ann. Inst. Fourier (Grenoble)},
  FJOURNAL = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
    VOLUME = {62},
      YEAR = {2012},
    NUMBER = {2},
     PAGES = {707--726},
      ISSN = {0373-0956},
   MRCLASS = {11G15 (14H10)},
  MRNUMBER = {2985514},
MRREVIEWER = {Eric Errthum},
       DOI = {10.5802/aif.2692},
       URL = {https://doi.org/10.5802/aif.2692},
}

@book {Jacobson_basic_I,
    AUTHOR = {Jacobson, N.},
     TITLE = {Basic algebra. {I}},
   EDITION = {Second},
 PUBLISHER = {W. H. Freeman and Company, New York},
      YEAR = {1985},
     PAGES = {xviii+499},
      ISBN = {0-7167-1480-9},
   MRCLASS = {00A05 (12-01)},
  MRNUMBER = {780184},
}

@article {Subrao_p_rank,
    AUTHOR = {Subrao, D.},
     TITLE = {The {$p$}-rank of {A}rtin-{S}chreier curves},
   JOURNAL = {Manuscripta Math.},
  FJOURNAL = {Manuscripta Mathematica},
    VOLUME = {16},
      YEAR = {1975},
    NUMBER = {2},
     PAGES = {169--193},
      ISSN = {0025-2611},
   MRCLASS = {14H45 (14H30)},
  MRNUMBER = {0376693},
MRREVIEWER = {K. Kiyek},
       DOI = {10.1007/BF01181639},
       URL = {https://doi.org/10.1007/BF01181639},
}

@article {GrothendieckQuelques,
    AUTHOR = {Grothendieck, A.},
     TITLE = {Sur quelques points d'alg\`ebre homologique},
   JOURNAL = {T\^{o}hoku Math. J. (2)},
  FJOURNAL = {The Tohoku Mathematical Journal. Second Series},
    VOLUME = {9},
      YEAR = {1957},
     PAGES = {119--221},
      ISSN = {0040-8735},
   MRCLASS = {18.00},
  MRNUMBER = {0102537},
MRREVIEWER = {D. Buchsbaum},
       DOI = {10.2748/tmj/1178244839},
       URL = {https://doi.org/10.2748/tmj/1178244839},
}

@incollection {WedhornDeRham,
    AUTHOR = {Wedhorn, T.},
     TITLE = {De {R}ham cohomology of varieties over fields of positive
              characteristic},
 BOOKTITLE = {Higher-dimensional geometry over finite fields},
    SERIES = {NATO Sci. Peace Secur. Ser. D Inf. Commun. Secur.},
    VOLUME = {16},
     PAGES = {269--314},
 PUBLISHER = {IOS, Amsterdam},
      YEAR = {2008},
   MRCLASS = {14F40 (14J28)},
  MRNUMBER = {2484083},
}

@article {HartshorneDeRham,
    AUTHOR = {Hartshorne, R.},
     TITLE = {On the {D}e {R}ham cohomology of algebraic varieties},
   JOURNAL = {Inst. Hautes \'{E}tudes Sci. Publ. Math.},
  FJOURNAL = {Institut des Hautes \'{E}tudes Scientifiques. Publications
              Math\'{e}matiques},
    NUMBER = {45},
      YEAR = {1975},
     PAGES = {5--99},
      ISSN = {0073-8301},
   MRCLASS = {14F20},
  MRNUMBER = {0432647},
MRREVIEWER = {D. Lieberman},
       URL = {http://www.numdam.org/item?id=PMIHES_1975__45__5_0},
}

@book {Weibel,
    AUTHOR = {Weibel, Ch. A.},
     TITLE = {An introduction to homological algebra},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {38},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1994},
     PAGES = {xiv+450},
      ISBN = {0-521-43500-5; 0-521-55987-1},
   MRCLASS = {18-01 (16-01 17-01 20-01 55Uxx)},
  MRNUMBER = {1269324},
MRREVIEWER = {Kenneth A. Brown},
       DOI = {10.1017/CBO9781139644136},
       URL = {http://dx.doi.org/10.1017/CBO9781139644136},
}

@article {BertinMezard2000,
    AUTHOR = {Bertin, J. and M\'{e}zard, A.},
     TITLE = {D\'{e}formations formelles des rev\^{e}tements sauvagement ramifi\'{e}s de
              courbes alg\'{e}briques},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {141},
      YEAR = {2000},
    NUMBER = {1},
     PAGES = {195--238},
      ISSN = {0020-9910},
   MRCLASS = {14D15 (14D20 14H10 14H30 14H37)},
  MRNUMBER = {1767273},
MRREVIEWER = {Akio Tamagawa},
       DOI = {10.1007/s002220000071},
       URL = {https://doi.org/10.1007/s002220000071},
}

@article {Kontogeorgis,
    AUTHOR = {Kontogeorgis, A.},
     TITLE = {On the tangent space of the deformation functor of curves with
              automorphisms},
   JOURNAL = {Algebra Number Theory},
  FJOURNAL = {Algebra \& Number Theory},
    VOLUME = {1},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {119--161},
      ISSN = {1937-0652},
   MRCLASS = {14H37 (14B10 14D15)},
  MRNUMBER = {2361938},
MRREVIEWER = {Arvid Siqveland},
       DOI = {10.2140/ant.2007.1.119},
       URL = {https://doi.org/10.2140/ant.2007.1.119},
}

@book {HallLie,
    AUTHOR = {Hall, B.},
     TITLE = {Lie groups, {L}ie algebras, and representations},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {222},
   EDITION = {Second},
      NOTE = {An elementary introduction},
 PUBLISHER = {Springer, Cham},
      YEAR = {2015},
     PAGES = {xiv+449},
      ISBN = {978-3-319-13466-6; 978-3-319-13467-3},
   MRCLASS = {22-01 (17-01)},
  MRNUMBER = {3331229},
       DOI = {10.1007/978-3-319-13467-3},
       URL = {https://doi.org/10.1007/978-3-319-13467-3},
}

@book {ErdmannWildon,
    AUTHOR = {Erdmann, K. and Wildon, M. J.},
     TITLE = {Introduction to {L}ie algebras},
    SERIES = {Springer Undergraduate Mathematics Series},
 PUBLISHER = {Springer-Verlag London, Ltd., London},
      YEAR = {2006},
     PAGES = {x+251},
      ISBN = {978-1-84628-040-5; 1-84628-040-0},
   MRCLASS = {17B05 (17-01 17B20)},
  MRNUMBER = {2218355},
MRREVIEWER = {Aloysius Helminck},
       DOI = {10.1007/1-84628-490-2},
       URL = {https://doi.org/10.1007/1-84628-490-2},
}

@book {JacobsonLie,
    AUTHOR = {Jacobson, N.},
     TITLE = {Lie algebras},
      NOTE = {Republication of the 1962 original},
 PUBLISHER = {Dover Publications, Inc., New York},
      YEAR = {1979},
     PAGES = {ix+331},
      ISBN = {0-486-63832-4},
   MRCLASS = {17-01},
  MRNUMBER = {559927},
}

@book {HumphreysLie,
    AUTHOR = {Humphreys, J. E.},
     TITLE = {Introduction to {L}ie algebras and representation theory},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {9},
      NOTE = {Second printing, revised},
 PUBLISHER = {Springer-Verlag, New York-Berlin},
      YEAR = {1978},
     PAGES = {xii+171},
      ISBN = {0-387-90053-5},
   MRCLASS = {17Bxx},
  MRNUMBER = {499562},
MRREVIEWER = {I. P. Shestakov},
}

@book {Kirillov,
    AUTHOR = {Kirillov, A.},
     TITLE = {An introduction to {L}ie groups and {L}ie algebras},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {113},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {2008},
     PAGES = {xii+222},
      ISBN = {978-0-521-88969-8},
   MRCLASS = {22-01 (17-01 17Bxx 22Exx)},
  MRNUMBER = {2440737},
MRREVIEWER = {Erik Koelink},
       DOI = {10.1017/CBO9780511755156},
       URL = {https://doi.org/10.1017/CBO9780511755156},
}

@article {Hall2008,
    AUTHOR = {Hall, Ch.},
     TITLE = {Big symplectic or orthogonal monodromy modulo {$l$}},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {141},
      YEAR = {2008},
    NUMBER = {1},
     PAGES = {179--203},
      ISSN = {0012-7094},
   MRCLASS = {11G05 (11G10 12F12 14D05 14K15)},
  MRNUMBER = {2372151},
MRREVIEWER = {Jeffrey D. Achter},
       DOI = {10.1215/S0012-7094-08-14115-8},
       URL = {https://doi.org/10.1215/S0012-7094-08-14115-8},
}


@article {Hall2011,
    AUTHOR = {Hall, Ch.},
     TITLE = {An open-image theorem for a general class of abelian
              varieties},
      NOTE = {With an appendix by Emmanuel Kowalski},
   JOURNAL = {Bull. Lond. Math. Soc.},
  FJOURNAL = {Bulletin of the London Mathematical Society},
    VOLUME = {43},
      YEAR = {2011},
    NUMBER = {4},
     PAGES = {703--711},
      ISSN = {0024-6093},
   MRCLASS = {11G10 (14K15)},
  MRNUMBER = {2820155},
MRREVIEWER = {Ivica Gusi\'{c}},
       DOI = {10.1112/blms/bdr004},
       URL = {https://doi.org/10.1112/blms/bdr004},
}

@article {Garnek2018,
    AUTHOR = {Garnek, J.},
     TITLE = {On {$p$}-degree of elliptic curves},
   JOURNAL = {Int. J. Number Theory},
  FJOURNAL = {International Journal of Number Theory},
    VOLUME = {14},
      YEAR = {2018},
    NUMBER = {3},
     PAGES = {693--704},
      ISSN = {1793-0421},
   MRCLASS = {11G07 (11G05)},
  MRNUMBER = {3786643},
       DOI = {10.1142/S1793042118500434},
       URL = {https://doi.org/10.1142/S1793042118500434},
}

@incollection {Greenberg2001,
    AUTHOR = {Greenberg, R.},
     TITLE = {Iwasawa theory---past and present},
 BOOKTITLE = {Class field theory---its centenary and prospect ({T}okyo,
              1998)},
    SERIES = {Adv. Stud. Pure Math.},
    VOLUME = {30},
     PAGES = {335--385},
 PUBLISHER = {Math. Soc. Japan, Tokyo},
      YEAR = {2001},
   MRCLASS = {11R23 (11-02)},
  MRNUMBER = {1846466},
MRREVIEWER = {Yuichiro Taguchi},
}

@book {MumfordAV,
    AUTHOR = {Mumford, D.},
     TITLE = {Abelian varieties},
    SERIES = {Tata Institute of Fundamental Research Studies in Mathematics},
    VOLUME = {5},
      NOTE = {With appendices by C. P. Ramanujam and Yuri Manin,
              Corrected reprint of the second (1974) edition},
 PUBLISHER = {Published for the Tata Institute of Fundamental Research,
              Bombay; by Hindustan Book Agency, New Delhi},
      YEAR = {2008},
     PAGES = {xii+263},
      ISBN = {978-81-85931-86-9; 81-85931-86-0},
   MRCLASS = {14Kxx},
  MRNUMBER = {2514037},
}

@article{GrossHarris1981,
author = {Gross, B. H. and Harris, J.},
journal = {Annales scientifiques de l'\'{E}cole Normale Sup\'{e}rieure},
keywords = {real theta-characteristics; real abelian varieties; complex conjugation on complex algebraic curves; real curves; Picard scheme; Real hyperelliptic curves; real plane curves; real trigonal curves; real moduli},
language = {eng},
number = {2},
pages = {157-182},
publisher = {Elsevier},
title = {Real algebraic curves},
url = {http://eudml.org/doc/82070},
volume = {14},
year = {1981},
}

@book {Serre1992,
    AUTHOR = {Serre, J.-P.},
     TITLE = {Lie algebras and {L}ie groups},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {1500},
   EDITION = {Second},
      NOTE = {1964 lectures given at Harvard University},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {1992},
     PAGES = {viii+168},
      ISBN = {3-540-55008-9},
   MRCLASS = {17-01 (17Bxx 22-01)},
  MRNUMBER = {1176100},
}

@book {Serre1989,
    AUTHOR = {Serre, J.-P.},
     TITLE = {Abelian {$l$}-adic representations and elliptic curves},
    SERIES = {Advanced Book Classics},
   EDITION = {Second},
      NOTE = {With the collaboration of Willem Kuyk and John Labute},
 PUBLISHER = {Addison-Wesley Publishing Company, Advanced Book Program,
              Redwood City, CA},
      YEAR = {1989},
     PAGES = {xxiv+184},
      ISBN = {0-201-09384-7},
   MRCLASS = {11G05 (11F33 11F80)},
  MRNUMBER = {1043865},
}

@article{SY2016,
   author = {{Sairaiji}, F. and {Yamauchi}, T.},
    title = "{On the class numbers of the fields of the $p^n$-torsion points of elliptic curves over $\mathbb{Q}$}",
  journal = {ArXiv e-prints},
archivePrefix = "arXiv",
   eprint = {1603.01296},
 primaryClass = "math.NT",
 keywords = {Mathematics - Number Theory},
     year = 2016,
    month = mar,
   adsurl = {http://adsabs.harvard.edu/abs/2016arXiv160301296S},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article {Ribet1979,
    AUTHOR = {Ribet, K. A.},
     TITLE = {Kummer theory on extensions of abelian varieties by tori},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {46},
      YEAR = {1979},
    NUMBER = {4},
     PAGES = {745--761},
      ISSN = {0012-7094},
   MRCLASS = {14K15 (12A35 12F10)},
  MRNUMBER = {552524},
MRREVIEWER = {Daniel Coray},
       URL = {http://projecteuclid.org/euclid.dmj/1077313720},
}

@Inbook{Ogus1981,
author="Ogus, A.",
title="Hodge Cycles and Crystalline Cohomology",
bookTitle="Hodge Cycles, Motives, and Shimura Varieties",
year="1981",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="357--414",
abstract="This paper is a collection of musings about several questions related to crystalline cohomology that have plagued me for the past few years. It contains many more conjectures than proofs, and my justification for publishing is the hope that others will find the problems as intriguing as I did but perhaps have more success in solving them.",
isbn="978-3-540-38955-2",
doi="10.1007/978-3-540-38955-2_8",
url="https://doi.org/10.1007/978-3-540-38955-2_8"
}


@article {Dieulefait2002,
    AUTHOR = {Dieulefait, L. V.},
     TITLE = {Explicit determination of the images of the {G}alois
              representations attached to abelian surfaces with {${\rm
              End}(A)=\Bbb Z$}},
   JOURNAL = {Experiment. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {11},
      YEAR = {2002},
    NUMBER = {4},
     PAGES = {503--512 (2003)},
      ISSN = {1058-6458},
   MRCLASS = {11F80 (11G10)},
  MRNUMBER = {1969642},
MRREVIEWER = {Thomas A. Weston},
       URL = {http://projecteuclid.org/euclid.em/1057864660},
}

@article {ClarkLacy2016,
AUTHOR = {Clark, P. L. and Lacy, A.},
TITLE = {There are genus one curves of every index over every infinite,
finitely generated field},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {749},
YEAR = {2019},
PAGES = {65--86},
ISSN = {0075-4102},
MRCLASS = {11G05 (14H25)},
MRNUMBER = {3935899},
MRREVIEWER = {Remke Kloosterman},
DOI = {10.1515/crelle-2016-0037},
URL = {https://doi.org/10.1515/crelle-2016-0037},
}

@book {BLR1990,
    AUTHOR = {Bosch, S. and L\"utkebohmert, W. and Raynaud, M.},
     TITLE = {N\'eron models},
    SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results
              in Mathematics and Related Areas (3)]},
    VOLUME = {21},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {1990},
     PAGES = {x+325},
      ISBN = {3-540-50587-3},
   MRCLASS = {14K15 (11G10 14L15)},
  MRNUMBER = {1045822},
MRREVIEWER = {James Milne},
       DOI = {10.1007/978-3-642-51438-8},
       URL = {https://doi.org/10.1007/978-3-642-51438-8},
}

@article{Bashmakov,
  author={M. I. Bashmakov},
  title={The Cohomology of Abelian Varieties Over a Number Field},
  journal={Russian Mathematical Surveys},
  volume={27},
  number={6},
  pages={25},
  url={http://stacks.iop.org/0036-0279/27/i=6/a=R03},
  year={1972},
}

@incollection {Kedlaya2008,
    AUTHOR = {Kedlaya, K. S.},
     TITLE = {{$p$}-adic cohomology: from theory to practice},
 BOOKTITLE = {{$p$}-adic geometry},
    SERIES = {Univ. Lecture Ser.},
    VOLUME = {45},
     PAGES = {175--203},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2008},
   MRCLASS = {14F30 (14F40)},
  MRNUMBER = {2482348},
MRREVIEWER = {Michel Gros},
       DOI = {10.1090/ulect/045/05},
       URL = {https://doi.org/10.1090/ulect/045/05},
}

@article {Kedlaya2001,
    AUTHOR = {Kedlaya, K. S.},
     TITLE = {Counting points on hyperelliptic curves using
              {M}onsky-{W}ashnitzer cohomology},
   JOURNAL = {J. Ramanujan Math. Soc.},
  FJOURNAL = {Journal of the Ramanujan Mathematical Society},
    VOLUME = {16},
      YEAR = {2001},
    NUMBER = {4},
     PAGES = {323--338},
      ISSN = {0970-1249},
   MRCLASS = {14G05 (11G25 14F43 14G15)},
  MRNUMBER = {1877805},
MRREVIEWER = {Miriam D. Abd\'on},
}

@article {Towse1996,
    AUTHOR = {Towse, Ch.},
     TITLE = {Weierstrass points on cyclic covers of the projective line},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {348},
      YEAR = {1996},
    NUMBER = {8},
     PAGES = {3355--3378},
      ISSN = {0002-9947},
   MRCLASS = {14H55 (11G30 14H45)},
  MRNUMBER = {1357406},
MRREVIEWER = {Masaaki Homma},
       DOI = {10.1090/S0002-9947-96-01649-2},
       URL = {https://doi.org/10.1090/S0002-9947-96-01649-2},
}

@article{MolinNeurohr2017,
author = {Molin, P. and Neurohr, Ch.},
year = {2017},
month = {07},
pages = {},
title = {Computing period matrices and the Abel-Jacobi map of superelliptic curves},
booktitle = {Mathematics of Computation}
}

@article {Hortsch2012,
    AUTHOR = {Hortsch, R.},
     TITLE = {On the canonical representation of curves in positive
              characteristic},
   JOURNAL = {New York J. Math.},
  FJOURNAL = {New York Journal of Mathematics},
    VOLUME = {18},
      YEAR = {2012},
     PAGES = {911--924},
      ISSN = {1076-9803},
   MRCLASS = {14G17 (11G05)},
  MRNUMBER = {3007205},
MRREVIEWER = {Rachel J. Pries},
       URL = {http://nyjm.albany.edu:8000/j/2012/18_911.html},
}

@article {KockTait2018,
    AUTHOR = {K\"ock, B. and Tait, J.},
     TITLE = {On the de-{R}ham cohomology of hyperelliptic curves},
   JOURNAL = {Res. Number Theory},
  FJOURNAL = {Research in Number Theory},
    VOLUME = {4},
      YEAR = {2018},
    NUMBER = {2},
     PAGES = {4:19},
      ISSN = {2363-9555},
   MRCLASS = {14F40 (14G17 14H37)},
  MRNUMBER = {3782449},
       DOI = {10.1007/s40993-018-0111-4},
       URL = {https://doi.org/10.1007/s40993-018-0111-4},
}

@article {SupZal,
  author = {Supunenko, I.~D. and Zalesskii, A.~E.},
  title = {Reduced symmetric powers of natural realizations of
  the groups $SL_m(P)$ and $Sp_m(P)$ and their restrictions to subgroups},
  journal = {Siberian Math. J.},
  volume = {31},
  number = {4},
  pages = {33--46}
} 

@article {Sosnovskii,
    AUTHOR = {Sosnovski\u\i , Ju. V.},
     TITLE = {Commutator structure of symplectic groups},
   JOURNAL = {Mat. Zametki},
  FJOURNAL = {Akademiya Nauk Soyuza SSR. Matematicheskie Zametki},
    VOLUME = {24},
      YEAR = {1978},
    NUMBER = {5},
     PAGES = {641--648, 734},
      ISSN = {0025-567X},
   MRCLASS = {20G30},
  MRNUMBER = {517424},
MRREVIEWER = {E. Vinberg},
}

@book {SerreOeurvesIV,
    AUTHOR = {Serre, J.-P.},
     TITLE = {Oeuvres/{C}ollected papers. {IV}. 1985--1998},
    SERIES = {Springer Collected Works in Mathematics},
      NOTE = {Reprint of the 2000 edition},
 PUBLISHER = {Springer, Heidelberg},
      YEAR = {2013},
     PAGES = {viii+694},
      ISBN = {978-3-642-39839-1},
   MRCLASS = {01A75 (01A70)}
}

@article {Neron1952,
    AUTHOR = {N\'eron, A.},
     TITLE = {Probl\`emes arithm\'etiques et g\'eom\'etriques rattach\'es \`a la notion
              de rang d'une courbe alg\'ebrique dans un corps},
   JOURNAL = {Bull. Soc. Math. France},
  FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
    VOLUME = {80},
      YEAR = {1952},
     PAGES = {101--166},
      ISSN = {0037-9484},
   MRCLASS = {14.0X},
  MRNUMBER = {0056951},
MRREVIEWER = {B. Segre},
       URL = {http://www.numdam.org/item?id=BSMF_1952__80__101_0},
}

@book {Marcus1977,
    AUTHOR = {Marcus, D. A.},
     TITLE = {Number fields},
      NOTE = {Universitext},
 PUBLISHER = {Springer-Verlag, New York-Heidelberg},
      YEAR = {1977},
     PAGES = {viii+279},
      ISBN = {0-387-90279-1},
   MRCLASS = {12-01},
  MRNUMBER = {0457396},
MRREVIEWER = {Ezra Brown},
}

@article {Moonen2004,
    AUTHOR = {Moonen, B.},
     TITLE = {Serre-{T}ate theory for moduli spaces of {PEL} type},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme
              S\'erie},
    VOLUME = {37},
      YEAR = {2004},
    NUMBER = {2},
     PAGES = {223--269},
      ISSN = {0012-9593},
   MRCLASS = {11G18 (14G35)},
  MRNUMBER = {2061781},
MRREVIEWER = {Ulrich G\"ortz},
       URL = {https://doi.org/10.1016/j.ansens.2003.04.004},
}

@article {Breuer2002,
    AUTHOR = {Breuer, F.},
     TITLE = {Distinguished liftings and the {A}ndr\'e-{O}ort conjecture},
   JOURNAL = {Quaest. Math.},
  FJOURNAL = {Quaestiones Mathematicae. Journal of the South African
              Mathematical Society},
    VOLUME = {25},
      YEAR = {2002},
    NUMBER = {3},
     PAGES = {363--380},
      ISSN = {1607-3606},
   MRCLASS = {11G15 (11G35 14G35)},
  MRNUMBER = {1931287},
MRREVIEWER = {James Milne},
       URL = {https://doi.org/10.2989/16073600209486023},
}

@incollection {BrokerStevenHagen2004,
    AUTHOR = {Br\"oker, R. and Stevenhagen, P.},
     TITLE = {Elliptic curves with a given number of points},
 BOOKTITLE = {Algorithmic number theory},
    SERIES = {Lecture Notes in Comput. Sci.},
    VOLUME = {3076},
     PAGES = {117--131},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2004},
   MRCLASS = {11G20},
  MRNUMBER = {2137348},
MRREVIEWER = {Christian Wittmann},
       URL = {https://doi.org/10.1007/978-3-540-24847-7_8},
}

@article {AGP2013,
    AUTHOR = {Arias-de-Reyna, S. and Gajda, W. and Petersen,
              S.},
     TITLE = {Big monodromy theorem for abelian varieties over finitely
              generated fields},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {217},
      YEAR = {2013},
    NUMBER = {2},
     PAGES = {218--229},
      ISSN = {0022-4049},
   MRCLASS = {14K15 (11G10 11G30)},
  MRNUMBER = {2969246},
MRREVIEWER = {John T. Cullinan},
       URL = {https://doi.org/10.1016/j.jpaa.2012.06.010},
}

@article {FKY2007,
    AUTHOR = {Fukuda, T. and Komatsu, K. and Yamagata, Sh.},
     TITLE = {Iwasawa {$\lambda$}-invariants and {M}ordell-{W}eil ranks of
              abelian varieties with complex multiplication},
   JOURNAL = {Acta Arith.},
  FJOURNAL = {Acta Arithmetica},
    VOLUME = {127},
      YEAR = {2007},
    NUMBER = {4},
     PAGES = {305--307},
      ISSN = {0065-1036},
   MRCLASS = {11G15 (11G10 11R23)},
  MRNUMBER = {2302046},
MRREVIEWER = {Hui June Zhu},
       URL = {https://doi.org/10.4064/aa127-4-1},
}

@article{Mordell1922,
author="Mordell, L. J.",
title="On the rational resolutions of the indeterminate equations of the third and fourth degree",
journal="Proc. Cambridge Phil. Soc.",
ISSN="",
publisher="",
year="1922",
month="",
volume="21",
number="",
pages="179-192",
URL="http://ci.nii.ac.jp/naid/10014601152/en/",
DOI="",
}

@article {Elkies1987,
    AUTHOR = {Elkies, N. D.},
     TITLE = {The existence of infinitely many supersingular primes for
              every elliptic curve over {${\bf Q}$}},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {89},
      YEAR = {1987},
    NUMBER = {3},
     PAGES = {561--567},
      ISSN = {0020-9910},
   MRCLASS = {11G05 (14G25)},
  MRNUMBER = {903384},
MRREVIEWER = {David Grant},
       URL = {https://doi.org/10.1007/BF01388985},
}

@article {Berbec2009,
    AUTHOR = {Berbec, I.},
     TITLE = {Group schemes over {A}rtinian rings and applications},
   JOURNAL = {Ann. Inst. Fourier (Grenoble)},
  FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
    VOLUME = {59},
      YEAR = {2009},
    NUMBER = {6},
     PAGES = {2371--2427},
      ISSN = {0373-0956},
   MRCLASS = {14L15 (14L05)},
  MRNUMBER = {2640924},
MRREVIEWER = {Alan Koch},
       URL = {http://aif.cedram.org/item?id=AIF_2009__59_6_2371_0},
}

@article {DworkOgus1986,
    AUTHOR = {Dwork, B. and Ogus, A.},
     TITLE = {Canonical liftings of {J}acobians},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {58},
      YEAR = {1986},
    NUMBER = {1},
     PAGES = {111--131},
      ISSN = {0010-437X},
   MRCLASS = {14H10 (11G10 14H40)},
  MRNUMBER = {834049},
MRREVIEWER = {Tsutomu Sekiguchi},
       URL = {http://www.numdam.org/item?id=CM_1986__58_1_111_0},
}

@incollection {GHKRW2006,
    AUTHOR = {Gaudry, P. and Houtmann, T. and Kohel, D. and Ritzenthaler, C.
              and Weng, A.},
     TITLE = {The 2-adic {CM} method for genus 2 curves with application to
              cryptography},
 BOOKTITLE = {Advances in cryptology---{ASIACRYPT} 2006},
    SERIES = {Lecture Notes in Comput. Sci.},
    VOLUME = {4284},
     PAGES = {114--129},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2006},
   MRCLASS = {94A60 (11T71)},
  MRNUMBER = {2444631},
       URL = {https://doi.org/10.1007/11935230_8},
}

@article {CRKL2008,
    AUTHOR = {Carls, R. and Kohel, D. and Lubicz, D.},
     TITLE = {Higher-dimensional 3-adic {CM} construction},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {319},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {971--1006},
      ISSN = {0021-8693},
   MRCLASS = {14K25},
  MRNUMBER = {2379090},
       URL = {https://doi.org/10.1016/j.jalgebra.2007.11.016},
}

@incollection {GHKRW2006,
    AUTHOR = {Gaudry, P. and Houtmann, T. and Kohel, D. and Ritzenthaler, C.
              and Weng, A.},
     TITLE = {The 2-adic {CM} method for genus 2 curves with application to
              cryptography},
 BOOKTITLE = {Advances in cryptology---{ASIACRYPT} 2006},
    SERIES = {Lecture Notes in Comput. Sci.},
    VOLUME = {4284},
     PAGES = {114--129},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2006},
   MRCLASS = {94A60 (11T71)},
  MRNUMBER = {2444631},
       URL = {https://doi.org/10.1007/11935230_8},
}

@incollection {BBEL2008,
    AUTHOR = {Belding, Juliana and Br\"oker, Reinier and Enge, Andreas and
              Lauter, Kristin},
     TITLE = {Computing {H}ilbert class polynomials},
 BOOKTITLE = {Algorithmic number theory},
    SERIES = {Lecture Notes in Comput. Sci.},
    VOLUME = {5011},
     PAGES = {282--295},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2008},
   MRCLASS = {11Y40 (11C08 11R54)},
  MRNUMBER = {2467854},
MRREVIEWER = {Horst Brunotte},
       URL = {https://doi.org/10.1007/978-3-540-79456-1_19},
}

@incollection {Kohel2008,
    AUTHOR = {Kohel, D. R.},
     TITLE = {Complex multiplication and canonical lifts},
 BOOKTITLE = {Algebraic geometry and its applications},
    SERIES = {Ser. Number Theory Appl.},
    VOLUME = {5},
     PAGES = {67--83},
 PUBLISHER = {World Sci. Publ., Hackensack, NJ},
      YEAR = {2008},
   MRCLASS = {14K22 (14K15)},
  MRNUMBER = {2484048},
MRREVIEWER = {Damian R\"ossler},
       URL = {https://doi.org/10.1142/9789812793430_0003},
}

@article {SatohSkjernaaTaguchi2003,
    AUTHOR = {Satoh, Takakazu and Skjernaa, Berit and Taguchi, Yuichiro},
     TITLE = {Fast computation of canonical lifts of elliptic curves and its
              application to point counting},
   JOURNAL = {Finite Fields Appl.},
  FJOURNAL = {Finite Fields and their Applications},
    VOLUME = {9},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {89--101},
      ISSN = {1071-5797},
   MRCLASS = {14G50 (11G20 11T71 94A60)},
  MRNUMBER = {1954785},
MRREVIEWER = {J. W. P. Hirschfeld},
       URL = {https://doi.org/10.1016/S1071-5797(02)00013-8},
}

@article {OortSekiguchi1986,
    AUTHOR = {Oort, F. and Sekiguchi, T.},
     TITLE = {The canonical lifting of an ordinary {J}acobian variety need
              not be a {J}acobian variety},
   JOURNAL = {J. Math. Soc. Japan},
  FJOURNAL = {Journal of the Mathematical Society of Japan},
    VOLUME = {38},
      YEAR = {1986},
    NUMBER = {3},
     PAGES = {427--437},
      ISSN = {0025-5645},
   MRCLASS = {14K10 (14H40)},
  MRNUMBER = {845711},
MRREVIEWER = {Ryuji Sasaki},
       URL = {https://doi.org/10.2969/jmsj/03830427},
}

@article {Erdogan2015,
    AUTHOR = {Erdo{\u g}an, Altan},
     TITLE = {A universal formula for the {$j$}-invariant of the canonical
              lifting},
   JOURNAL = {J. Number Theory},
  FJOURNAL = {Journal of Number Theory},
    VOLUME = {150},
      YEAR = {2015},
     PAGES = {26--40},
      ISSN = {0022-314X},
   MRCLASS = {11G07 (14K05)},
  MRNUMBER = {3304604},
MRREVIEWER = {Jeroen Sijsling},
       URL = {https://doi.org/10.1016/j.jnt.2014.11.002},
}

@article {Finotti2012,
    AUTHOR = {Finotti, Lu\'\i s R. A.},
     TITLE = {Nonexistence of pseudo-canonical liftings},
   JOURNAL = {Int. J. Number Theory},
  FJOURNAL = {International Journal of Number Theory},
    VOLUME = {8},
      YEAR = {2012},
    NUMBER = {1},
     PAGES = {31--51},
      ISSN = {1793-0421},
   MRCLASS = {11G07 (13F35)},
  MRNUMBER = {2887881},
MRREVIEWER = {Markus Szymik},
       URL = {https://doi.org/10.1142/S1793042112500029},
}

@article {Finotti2011,
    AUTHOR = {Finotti, Lu\'\i s R. A.},
     TITLE = {Computations with {W}itt vectors of length 3},
   JOURNAL = {J. Th\'eor. Nombres Bordeaux},
  FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
    VOLUME = {23},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {417--454},
      ISSN = {1246-7405},
   MRCLASS = {13F35},
  MRNUMBER = {2817938},
MRREVIEWER = {Markus Szymik},
       URL = {http://jtnb.cedram.org/item?id=JTNB_2011__23_2_417_0},
}

@article {Finotti2010,
    AUTHOR = {Finotti, Lu\'\i s R. A.},
     TITLE = {Lifting the {$j$}-invariant: questions of {M}azur and {T}ate},
   JOURNAL = {J. Number Theory},
  FJOURNAL = {Journal of Number Theory},
    VOLUME = {130},
      YEAR = {2010},
    NUMBER = {3},
     PAGES = {620--638},
      ISSN = {0022-314X},
   MRCLASS = {11G20},
  MRNUMBER = {2584845},
MRREVIEWER = {Niko Naumann},
       URL = {https://doi.org/10.1016/j.jnt.2009.10.009},
}

@article {Mazur1997,
    AUTHOR = {Mazur, B.},
     TITLE = {An "infinite fern" in the universal deformation space of
              {G}alois representations},
      NOTE = {Journ\'ees Arithm\'etiques (Barcelona, 1995)},
   JOURNAL = {Collect. Math.},
  FJOURNAL = {Universitat de Barcelona. Collectanea Mathematica},
    VOLUME = {48},
      YEAR = {1997},
    NUMBER = {1-2},
     PAGES = {155--193},
      ISSN = {0010-0757},
   MRCLASS = {11F33 (11F80)},
  MRNUMBER = {1464022},
MRREVIEWER = {Andrea Mori},
}

@article {Larsen1995,
    AUTHOR = {Larsen, M.},
     TITLE = {Maximality of {G}alois actions for compatible systems},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {80},
      YEAR = {1995},
    NUMBER = {3},
     PAGES = {601--630},
      ISSN = {0012-7094},
   MRCLASS = {11G09 (11G10 11S37 20G25)},
  MRNUMBER = {1370110},
MRREVIEWER = {Ernst-Wilhelm Zink},
       URL = {https://doi.org/10.1215/S0012-7094-95-08021-1},
}

@article {GajdaPetersenReyna2013,
    AUTHOR = {Arias-de-Reyna, Sara and Gajda, Wojciech and Petersen,
              Sebastian},
     TITLE = {Big monodromy theorem for abelian varieties over finitely
              generated fields},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {217},
      YEAR = {2013},
    NUMBER = {2},
     PAGES = {218--229},
      ISSN = {0022-4049},
   MRCLASS = {14K15 (11G10 11G30)},
  MRNUMBER = {2969246},
MRREVIEWER = {John T. Cullinan},
       URL = {https://doi.org/10.1016/j.jpaa.2012.06.010},
}

@article {Mattuck1955,
    AUTHOR = {Mattuck, Arthur},
     TITLE = {Abelian varieties over {$p$}-adic ground fields},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {62},
      YEAR = {1955},
     PAGES = {92--119},
      ISSN = {0003-486X},
   MRCLASS = {14.0X},
  MRNUMBER = {0071116},
MRREVIEWER = {C. Chevalley},
       URL = {https://doi.org/10.2307/2007101},
}

@misc{lmfdb,
  shorthand    = {LMFDB},
  author       = {The {LMFDB Collaboration}},
  title        =  {The L-functions and Modular Forms Database},
  howpublished = {\url{http://www.lmfdb.org}},
  year         = {2017},
  note         = {[Online; accessed 12 November 2017]},
}  

@book{Corvaja2016,
  title={Integral Points on Algebraic Varieties: An Introduction to Diophantine Geometry},
  author={Corvaja, P.},
  isbn={9789380250830},
  series={Hindustan Book Agency Series},
  url={https://books.google.pl/books?id=8mnLjwEACAAJ},
  year={2016},
  publisher={Hindustan Book Agency}
}

@book {Serre1997,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Lectures on the {M}ordell-{W}eil theorem},
    SERIES = {Aspects of Mathematics},
   EDITION = {Third},
      NOTE = {Translated from the French and edited by Martin Brown from
              notes by Michel Waldschmidt,
              With a foreword by Brown and Serre},
 PUBLISHER = {Friedr. Vieweg \& Sohn, Braunschweig},
      YEAR = {1997},
     PAGES = {x+218},
      ISBN = {3-528-28968-6},
   MRCLASS = {11G10 (11D41 11G30 14G25)},
  MRNUMBER = {1757192},
       URL = {https://doi.org/10.1007/978-3-663-10632-6},
}

@book {Serre2008,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Topics in {G}alois theory},
    SERIES = {Research Notes in Mathematics},
    VOLUME = {1},
   EDITION = {Second},
      NOTE = {With notes by Henri Darmon},
 PUBLISHER = {A K Peters, Ltd., Wellesley, MA},
      YEAR = {2008},
     PAGES = {xvi+120},
      ISBN = {978-1-56881-412-4},
   MRCLASS = {12F12},
  MRNUMBER = {2363329},
}


@book {DummitFoote2004,
    AUTHOR = {Dummit, D. S. and Foote, R. M.},
     TITLE = {Abstract algebra},
   EDITION = {Third},
 PUBLISHER = {John Wiley \& Sons, Inc., Hoboken, NJ},
      YEAR = {2004},
     PAGES = {xii+932},
      ISBN = {0-471-43334-9},
   MRCLASS = {00-01 (16-01 20-01)},
  MRNUMBER = {2286236},
}

@book {GelfandManin2003,
    AUTHOR = {Gelfand, S. I. and Manin, Y. I.},
     TITLE = {Methods of homological algebra},
    SERIES = {Springer Monographs in Mathematics},
   EDITION = {Second},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {2003},
     PAGES = {xx+372},
      ISBN = {3-540-43583-2},
   MRCLASS = {18-02 (18Exx 18Gxx 55U35)},
  MRNUMBER = {1950475},
       DOI = {10.1007/978-3-662-12492-5},
       URL = {http://dx.doi.org/10.1007/978-3-662-12492-5},
}
		
		
@book {Rotman2009,
    AUTHOR = {Rotman, J. J.},
     TITLE = {An introduction to homological algebra},
    SERIES = {Universitext},
   EDITION = {Second},
 PUBLISHER = {Springer, New York},
      YEAR = {2009},
     PAGES = {xiv+709},
      ISBN = {978-0-387-24527-0},
   MRCLASS = {18Gxx (13Dxx 16Exx 18-01 20J06)},
  MRNUMBER = {2455920},
MRREVIEWER = {Fernando Muro},
       DOI = {10.1007/b98977},
       URL = {http://dx.doi.org/10.1007/b98977},
}

@book {HiltonStammbach1997,
    AUTHOR = {Hilton, P. J. and Stammbach, U.},
     TITLE = {A course in homological algebra},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {4},
   EDITION = {Second},
 PUBLISHER = {Springer-Verlag, New York},
      YEAR = {1997},
     PAGES = {xii+364},
      ISBN = {0-387-94823-6},
   MRCLASS = {18-02 (17B56 18Gxx 20J05)},
  MRNUMBER = {1438546},
       DOI = {10.1007/978-1-4419-8566-8},
       URL = {http://dx.doi.org/10.1007/978-1-4419-8566-8},
}

@book {McCleary2001,
    AUTHOR = {McCleary, John},
     TITLE = {A user's guide to spectral sequences},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {58},
   EDITION = {Second},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {2001},
     PAGES = {xvi+561},
      ISBN = {0-521-56759-9},
   MRCLASS = {55Txx (18G40)},
  MRNUMBER = {1793722},
MRREVIEWER = {Frank Neumann},
}

@inbook{Tate1997,
	address = "New York, NY",
	author = "Tate, J.",
	chapter = "Finite Flat Group Schemes",
	doi = "10.1007/978-1-4612-1974-3_5",
	editor = "Cornell, G. and Silverman, J. H. and Stevens, G.",
	isbn = "978-1-4612-1974-3",
	pages = "121--154",
	publisher = "Springer New York",
	title = "{Modular Forms and Fermat's Last Theorem}",
	url = "http://dx.doi.org/10.1007/978-1-4612-1974-3_5",
	year = "1997"
}

@book{Silverman_AEC,
	author = "Silverman, J. H.",
	doi = "10.1007/978-0-387-09494-6",
	edition = "Second",
	isbn = "978-0-387-09493-9",
	mrclass = "11-02 (11G05 11G20 14H52 14K15)",
	mrnumber = "2514094",
	mrreviewer = "Vasil{\cprime} {\=I}. Andr{\={\i}}{\u\i}chuk",
	pages = "xx+513",
	publisher = "Springer, Dordrecht",
	series = "{Graduate Texts in Mathematics}",
	title = "{The arithmetic of elliptic curves}",
	url = "http://dx.doi.org/10.1007/978-0-387-09494-6",
	volume = "106",
	year = "2009"
}

@book{Silverman_Advanced,
	author = "Silverman, J. H.",
	doi = "10.1007/978-1-4612-0851-8",
	isbn = "0-387-94328-5",
	mrclass = "11G05 (11G07 11G15 11G40 14H52)",
	mrnumber = "1312368",
	mrreviewer = "Henri Darmon",
	pages = "xiv+525",
	publisher = "Springer-Verlag, New York",
	series = "{Graduate Texts in Mathematics}",
	title = "{Advanced topics in the arithmetic of elliptic curves}",
	url = "http://dx.doi.org/10.1007/978-1-4612-0851-8",
	volume = "151",
	year = "1994"
}

@incollection{Shatz1996,
	author = "Shatz, S. S.",
	booktitle = "{Arithmetic geometry ({S}torrs, {C}onn., 1984)}",
	mrclass = "14L05",
	mrnumber = "861972",
	pages = "29--78",
	publisher = "Springer, New York",
	title = "{Group schemes, formal groups, and {$p$}-divisible groups}",
	year = "1986"
}

@incollection{Katz1981,
	author = "Katz, N. M.",
	booktitle = "{Algebraic surfaces ({O}rsay, 1976--78)}",
	mrclass = "14K10",
	mrnumber = "638600",
	mrreviewer = "William E. Lang",
	pages = "138--202",
	publisher = "Springer, Berlin-New York",
	series = "{Lecture Notes in Math.}",
	title = "{Serre-{T}ate local moduli}",
	volume = "868",
	year = "1981"
}

@book{KatzMazur1985,
	author = "Katz, Nicholas M. and Mazur, Barry",
	isbn = "0-691-08349-5; 0-691-08352-5",
	mrclass = "11G05 (11F11 14G25 14K15)",
	mrnumber = "772569",
	mrreviewer = "Kenneth A. Ribet",
	pages = "xiv+514",
	publisher = "Princeton University Press, Princeton, NJ",
	series = "{Annals of Mathematics Studies}",
	title = "{Arithmetic moduli of elliptic curves}",
	volume = "108",
	year = "1985"
}

@book{Hartshorne1977,
	author = "Hartshorne, R.",
	isbn = "0-387-90244-9",
	mrclass = "14-01",
	mrnumber = "0463157",
	mrreviewer = "Robert Speiser",
	note = "Graduate Texts in Mathematics, No. 52",
	pages = "xvi+496",
	publisher = "Springer-Verlag, New York-Heidelberg",
	title = "{Algebraic geometry}",
	year = "1977"
}

@book{IrelandRosen1990,
	author = "Ireland, K. and Rosen, M.",
	doi = "10.1007/978-1-4757-2103-4",
	edition = "Second",
	isbn = "0-387-97329-X",
	mrclass = "11-01 (11-02)",
	mrnumber = "1070716",
	mrreviewer = "Glenn Stevens",
	pages = "xiv+389",
	publisher = "Springer-Verlag, New York",
	series = "{Graduate Texts in Mathematics}",
	title = "{A classical introduction to modern number theory}",
	url = "http://dx.doi.org/10.1007/978-1-4757-2103-4",
	volume = "84",
	year = "1990"
}

@article{DavidWeston2008,
	author = "David, Ch. and Weston, T.",
	doi = "10.4310/MRL.2008.v15.n3.a17",
	fjournal = "Mathematical Research Letters",
	issn = "1073-2780",
	journal = "Math. Res. Lett.",
	mrclass = "11G05 (11F80)",
	mrnumber = "2407234",
	mrreviewer = "Conjeeveram S. Rajan",
	number = "3",
	pages = "599--611",
	title = "{Local torsion on elliptic curves and the deformation theory of {G}alois representations}",
	url = "http://dx.doi.org/10.4310/MRL.2008.v15.n3.a17",
	volume = "15",
	year = "2008"
}

@article{Cosgrave2014,
	author = "Cosgrave, J. B. and Dilcher, K.",
	doi = "10.1007/s10474-013-0357-1",
	fjournal = "Acta Mathematica Hungarica",
	issn = "0236-5294",
	journal = "Acta Math. Hungar.",
	mrclass = "11A07 (11B65)",
	mrnumber = "3158860",
	mrreviewer = "Tatiana Hessami Pilehrood",
	number = "1",
	pages = "199--230",
	title = "{The {G}auss-{W}ilson theorem for quarter-intervals}",
	url = "http://dx.doi.org/10.1007/s10474-013-0357-1",
	volume = "142",
	year = "2014"
}

@article{Pannekoek2012,
	adsnote = "Provided by the SAO/NASA Astrophysics Data System",
	adsurl = "http://adsabs.harvard.edu/abs/2012arXiv1211.5833P",
	archiveprefix = "arXiv",
	author = "{Pannekoek}, R.",
	eprint = "1211.5833",
	journal = "ArXiv e-prints",
	keywords = "Mathematics - Algebraic Geometry; Mathematics - Number Theory; 14H52",
	month = nov,
	primaryclass = "math.AG",
	title = "{On p-torsion of p-adic elliptic curves with additive reduction}",
	year = 2012
}

@book{Davenport2000,
	author = "Davenport, Harold",
	edition = "Third",
	isbn = "0-387-95097-4",
	mrclass = "11-02 (11-01 11Mxx 11Nxx)",
	mrnumber = "1790423",
	note = "Revised and with a preface by Hugh L. Montgomery",
	pages = "xiv+177",
	publisher = "Springer-Verlag, New York",
	series = "{Graduate Texts in Mathematics}",
	title = "{Multiplicative number theory}",
	volume = "74",
	year = "2000"
}

@book{Cox1989,
	author = "Cox, David A.",
	isbn = "0-471-50654-0; 0-471-19079-9",
	mrclass = "11A41 (11F11 11R11 11R16 11R18 11R37 11Y11)",
	mrnumber = "1028322",
	mrreviewer = "Andrew Bremner",
	note = "Fermat, class field theory and complex multiplication",
	pages = "xiv+351",
	publisher = "John Wiley \& Sons, Inc., New York",
	series = "{A Wiley-Interscience Publication}",
	title = "{Primes of the form {$x^2 + ny^2$}}",
	year = "1989"
}

@book{Hida2013,
	author = "Hida, Haruzo",
	doi = "10.1007/978-1-4614-6657-4",
	isbn = "978-1-4614-6656-7; 978-1-4614-6657-4",
	mrclass = "11F11 (11F25 11G15 11G18)",
	mrnumber = "3098991",
	mrreviewer = "Florian Sprung",
	pages = "xviii+449",
	publisher = "Springer, New York",
	series = "{Springer Monographs in Mathematics}",
	title = "{Elliptic curves and arithmetic invariants}",
	url = "http://dx.doi.org/10.1007/978-1-4614-6657-4",
	year = "2013"
}

@article{Gamzon2014,
	author = "Gamzon, A.",
	doi = "10.1142/S1793042114500572",
	fjournal = "International Journal of Number Theory",
	issn = "1793-0421",
	journal = "Int. J. Number Theory",
	mrclass = "11G10 (14G20 14K15)",
	mrnumber = "3256853",
	mrreviewer = "Pete L. Clark",
	number = "7",
	pages = "1807--1827",
	title = "{Local torsion on abelian surfaces with real multiplication by {${\bf Q}(\sqrt{5})$}}",
	url = "http://dx.doi.org/10.1142/S1793042114500572",
	volume = "10",
	year = "2014"
}

@book{Gamzon2012,
	author = "Gamzon, Adam B.",
	isbn = "978-1267-49349-1",
	mrclass = "Thesis",
	mrnumber = "3067899",
	note = "Thesis (Ph.D.)--University of Massachusetts Amherst",
	pages = "61",
	publisher = "ProQuest LLC, Ann Arbor, MI",
	title = "{Local torsion on abelian surfaces}",
	url = "http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3518232",
	year = "2012"
}

@book{Mumford2008,
	author = "Mumford, David",
	isbn = "978-81-85931-86-9; 81-85931-86-0",
	mrclass = "14Kxx",
	mrnumber = "2514037",
	note = "With appendices by C. P. Ramanujam and Yuri Manin, Corrected reprint of the second (1974) edition",
	pages = "xii+263",
	publisher = "Published for the Tata Institute of Fundamental Research, Bombay; by Hindustan Book Agency, New Delhi",
	series = "{Tata Institute of Fundamental Research Studies in Mathematics}",
	title = "{Abelian varieties}",
	volume = "5",
	year = "2008"
}

@inproceedings{Lenstra1987,
	author = "Lenstra, Jr. H. W.",
	booktitle = "{Proceedings of the {I}nternational {C}ongress of {M}athematicians, {V}ol. 1, 2 ({B}erkeley, {C}alif., 1986)}",
	mrclass = "11Y11 (11G99 11Y05)",
	mrnumber = "934218",
	mrreviewer = "Samuel S. Wagstaff, Jr.",
	pages = "99--120",
	publisher = "Amer. Math. Soc., Providence, RI",
	title = "{Elliptic curves and number-theoretic algorithms}",
	year = "1987"
}

@article{Lenstra1987_Factoring,
	abstract = "This paper is devoted to the description and analysis of a new algorithm to factor positive integers. It depends on the use of elliptic curves. The new method is obtained from Pollard's (p-1)-method (Proc. Cambridge Philos. Soc. 76 (1974), 521-528) by replacing the multiplicative group by the group of points on a random elliptic curve. It is conjectured that the algorithm determines a non-trivial divisor of a composite number n in expected time at most K(p)(log n)2, where p is the least prime dividing n and K is a function for which log $K(x) = \sqrt{(2 + o (1))log x log log x}$ for x → ∞. In the worst case, when n is the product of two primes of the same order of magnitude, this is $exp((1 + o(1))\sqrt{log n log log n})$ (for n → ∞). There are several other factoring algorithms of which the conjectural expected running time is given by the latter formula. However, these algorithms have a running time that is basically independent of the size of the prime factors of n, whereas the new elliptic curve method is substantially faster for small p.",
	author = "Lenstra, H. W.",
	issn = "0003486X",
	journal = "Annals of Mathematics",
	number = "3",
	pages = "649--673",
	publisher = "Annals of Mathematics",
	title = "{Factoring Integers with Elliptic Curves}",
	url = "http://www.jstor.org/stable/1971363",
	volume = "126",
	year = "1987"
}

@book{AtiyahMacdonald1969,
	author = "Atiyah, M. F. and Macdonald, I. G.",
	mrclass = "13.00",
	mrnumber = "0242802",
	mrreviewer = "J. A. Johnson",
	pages = "ix+128",
	publisher = "Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont.",
	title = "{Introduction to commutative algebra}",
	year = "1969"
}

@book{Milne1980,
	author = "Milne, J. S.",
	isbn = "0-691-08238-3",
	mrclass = "14-02 (14F20 18F99)",
	mrnumber = "559531",
	mrreviewer = "G. Horrocks",
	pages = "xiii+323",
	publisher = "Princeton University Press, Princeton, N.J.",
	series = "{Princeton Mathematical Series}",
	title = "{{\'E}tale cohomology}",
	volume = "33",
	year = "1980"
}

@misc{Milne2013,
	author = "Milne, J.S.",
	note = "Available at www.jmilne.org/math/",
	pages = "281+viii",
	title = "{Class Field Theory (v4.02)}",
	year = "2013"
}

@misc{stacks-project,
	author = "{Stacks Project Authors}, The",
	howpublished = "\url{http://stacks.math.columbia.edu}",
	shorthand = "Stacks",
	title = "{\itshape Stacks Project}",
	year = "2016"
}

@article{Cosgrave2014,
	author = "Cosgrave, J. B. and Dilcher, K.",
	doi = "10.1007/s10474-013-0357-1",
	fjournal = "Acta Mathematica Hungarica",
	issn = "0236-5294",
	journal = "Acta Math. Hungar.",
	mrclass = "11A07 (11B65)",
	mrnumber = "3158860",
	mrreviewer = "Tatiana Hessami Pilehrood",
	number = "1",
	pages = "199--230",
	title = "{The {G}auss-{W}ilson theorem for quarter-intervals}",
	url = "http://dx.doi.org/10.1007/s10474-013-0357-1",
	volume = "142",
	year = "2014"
}

@book{Lang1987,
	address = "New York, Berlin",
	author = "Lang, S.",
	isbn = "3-540-96508-4",
	note = "Index, bibliogr",
	publisher = "Springer",
	series = "{Graduate texts in mathematics}",
	title = "{Elliptic functions}",
	url = "http://opac.inria.fr/record=b1081404",
	year = 1987
}

@book{CGP2015,
	author = "Conrad, B. and Gabber, O. and Prasad, G.",
	doi = "10.1017/CBO9781316092439",
	edition = "Second",
	isbn = "978-1-107-08723-1",
	mrclass = "20G15 (14L15)",
	mrnumber = "3362817",
	pages = "xxiv+665",
	publisher = "Cambridge University Press, Cambridge",
	series = "{New Mathematical Monographs}",
	title = "{Pseudo-reductive groups}",
	url = "http://dx.doi.org/10.1017/CBO9781316092439",
	volume = "26",
	year = "2015"
}

@article{Deuring1941,
	author = "Deuring, M.",
	journal = "Abh. Math. Sem. Hansischen Univ.",
	mrclass = "09.1X",
	mrnumber = "0005125",
	mrreviewer = "S. Mac Lane",
	pages = "197--272",
	title = "{Die {T}ypen der {M}ultiplikatorenringe elliptischer {F}unktionenk{\"o}rper}",
	volume = "14",
	year = "1941"
}

@book{Serre1979,
	author = "Serre, J.-P.",
	isbn = "0-387-90424-7",
	mrclass = "12Bxx",
	mrnumber = "554237",
	note = "Translated from the French by Marvin Jay Greenberg",
	pages = "viii+241",
	publisher = "Springer-Verlag, New York-Berlin",
	series = "{Graduate Texts in Mathematics}",
	title = "{Local fields}",
	volume = "67",
	year = "1979"
}

@misc{Milne2013,
	author = "Milne, J. S.",
	note = "Available at www.jmilne.org/math/",
	pages = "281+viii",
	title = "{Class Field Theory (v4.02)}",
	year = "2013"
}

@misc{stacks-project,
	author = "{Stacks Project Authors}, The",
	howpublished = "\url{http://stacks.math.columbia.edu}",
	shorthand = "Stacks",
	title = "{\itshape Stacks Project}",
	year = "2016"
}

@article{Cosgrave2014,
	author = "Cosgrave, J. B. and Dilcher, K.",
	doi = "10.1007/s10474-013-0357-1",
	fjournal = "Acta Mathematica Hungarica",
	issn = "0236-5294",
	journal = "Acta Math. Hungar.",
	mrclass = "11A07 (11B65)",
	mrnumber = "3158860",
	mrreviewer = "Tatiana Hessami Pilehrood",
	number = "1",
	pages = "199--230",
	title = "{The {G}auss-{W}ilson theorem for quarter-intervals}",
	url = "http://dx.doi.org/10.1007/s10474-013-0357-1",
	volume = "142",
	year = "2014"
}

@book{Lang1987,
	address = "New York, Berlin",
	author = "Lang, Serge",
	isbn = "3-540-96508-4",
	note = "Index, bibliogr",
	publisher = "Springer",
	series = "{Graduate texts in mathematics}",
	title = "{Elliptic functions}",
	url = "http://opac.inria.fr/record=b1081404",
	year = 1987
}

@book{CGP2015,
	author = "Conrad, B. and Gabber, O. and Prasad, G.",
	doi = "10.1017/CBO9781316092439",
	edition = "Second",
	isbn = "978-1-107-08723-1",
	mrclass = "20G15 (14L15)",
	mrnumber = "3362817",
	pages = "xxiv+665",
	publisher = "Cambridge University Press, Cambridge",
	series = "{New Mathematical Monographs}",
	title = "{Pseudo-reductive groups}",
	url = "http://dx.doi.org/10.1017/CBO9781316092439",
	volume = "26",
	year = "2015"
}

@article {Naskrecki2016,
    AUTHOR = {Naskr\k{e}cki, B.},
     TITLE = {Divisibility sequences of polynomials and heights estimates},
   JOURNAL = {New York J. Math.},
  FJOURNAL = {New York Journal of Mathematics},
    VOLUME = {22},
      YEAR = {2016},
     PAGES = {989--1020},
      ISSN = {1076-9803},
   MRCLASS = {11G05 (11C08 14H52)},
  MRNUMBER = {3576279},
MRREVIEWER = {Filip Najman},
}

@article{Deuring1941,
	author = "Deuring, M.",
	journal = "Abh. Math. Sem. Hansischen Univ.",
	mrclass = "09.1X",
	mrnumber = "0005125",
	mrreviewer = "S. Mac Lane",
	pages = "197--272",
	title = "{Die {T}ypen der {M}ultiplikatorenringe elliptischer {F}unktionenk{\"o}rper}",
	volume = "14",
	year = "1941"
}

@article{SY2015,
	author = "Sairaiji, F. and Yamauchi, T.",
	doi = "10.1016/j.jnt.2015.04.004",
	fjournal = "Journal of Number Theory",
	issn = "0022-314X",
	journal = "J. Number Theory",
	mrclass = "11G05 (14G25 14H52)",
	mrnumber = "3360340",
	mrreviewer = "{\~A}lvaro Lozano-Robledo",
	pages = "277--289",
	title = "{On the class numbers of the fields of the {$p^n$}-torsion points of certain elliptic curves over {$\mathbb{Q}$}}",
	url = "http://dx.doi.org/10.1016/j.jnt.2015.04.004",
	volume = "156",
	year = "2015"
}

@article {Hiranouchi,
	AUTHOR = {Hiranouchi, T.},
	TITLE = {Local torsion primes and the class numbers associated to an
	elliptic curve over {$\Bbb Q$}},
	JOURNAL = {Hiroshima Math. J.},
	FJOURNAL = {Hiroshima Mathematical Journal},
	VOLUME = {49},
	YEAR = {2019},
	NUMBER = {1},
	PAGES = {117--127},
	ISSN = {0018-2079},
	MRCLASS = {11R29 (11G05)},
	MRNUMBER = {3936649},
	MRREVIEWER = {Debopam Chakraborty},
	DOI = {10.32917/hmj/1554516039},
	URL = {https://doi.org/10.32917/hmj/1554516039},
}

@article{BGK2005,
	author = "Banaszak, G. and Gajda, W. and Kraso{\'n}, P.",
	doi = "10.1016/j.jnt.2005.01.008",
	fjournal = "Journal of Number Theory",
	issn = "0022-314X",
	journal = "J. Number Theory",
	mrclass = "11G10 (14K15)",
	mrnumber = "2180505",
	mrreviewer = "Thomas A. Weston",
	number = "2",
	pages = "322--342",
	title = "{Detecting linear dependence by reduction maps}",
	url = "http://dx.doi.org/10.1016/j.jnt.2005.01.008",
	volume = "115",
	year = "2005"
}

@book{MalleTesterman,
	author = "Malle, G. and Testerman, D.",
	doi = "10.1017/CBO9780511994777",
	isbn = "978-1-107-00854-0",
	mrclass = "20G15 (20D06 20G05)",
	mrnumber = "2850737",
	mrreviewer = "Timothy C. Burness",
	pages = "xiv+309",
	publisher = "Cambridge University Press, Cambridge",
	series = "{Cambridge Studies in Advanced Mathematics}",
	title = "{Linear algebraic groups and finite groups of {L}ie type}",
	url = "http://dx.doi.org/10.1017/CBO9780511994777",
	volume = "133",
	year = "2011"
}