@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},
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@misc{cantoral_lombardo_monodromy_QM_jacobians,
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@misc{milneANT,
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@book {Meara_quadratic_forms,
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@article {Garnek_maximally_disjoint,
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@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}
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@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,
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	TITLE = {Computing stable reductions},
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	MRCLASS = {11G20 (11D41 11G30 11L05 14H25)},
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@article {Bouw_Wewers_Computing_Lfcts_superelliptic,
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@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}
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@article {Zarhin_non_isogenous_superelliptic,
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	TITLE = {Non-isogenous superelliptic {J}acobians},
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	FJOURNAL = {Mathematische Zeitschrift},
	VOLUME = {253},
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	MRREVIEWER = {Bjorn\ Poonen},
	DOI = {10.1007/s00209-005-0921-7},
	URL = {https://doi.org/10.1007/s00209-005-0921-7},
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@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},
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@article {Zarhin_endomorphisms_superelliptic,
	AUTHOR = {Zarhin, Y. G.},
	TITLE = {Endomorphisms of superelliptic {J}acobians},
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	FJOURNAL = {Mathematische Zeitschrift},
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	YEAR = {2009},
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	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},
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	YEAR = {2010},
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	URL = {https://doi.org/10.4310/MRL.2010.v17.n2.a15},
}

@article {Xue_Hodge_groups_superelliptic,
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@article {Xue_Endomorphisms_superelliptic,
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@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},
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@article {Jedrzejak_torsion_superelliptic,
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	TITLE = {On the torsion of the {J}acobians of superelliptic curves
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	URL = {https://doi.org/10.1016/j.jnt.2014.06.013},
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@incollection {Jedrzejak_note_on_torsion,
	AUTHOR = {J\k{e}drzejak, T.},
	TITLE = {A note on the torsion of the {J}acobians of superelliptic
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	BOOKTITLE = {Algebra, logic and number theory},
	SERIES = {Banach Center Publ.},
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	MRNUMBER = {3559260},
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@incollection {Zarhin_Endomorphisms_reference_superelliptic,
	AUTHOR = {Zarhin, Y. G.},
	TITLE = {Endomorphism algebras of abelian varieties with special
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	BOOKTITLE = {Geometry, algebra, number theory, and their information
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	SERIES = {Springer Proc. Math. Stat.},
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	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
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	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},
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	FJOURNAL = {Journal de Th\'{e}orie des Nombres de Bordeaux},
	VOLUME = {33},
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	ISSN = {1246-7405,2118-8572},
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	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.},
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	JOURNAL = {Glasg. Math. J.},
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	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},
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	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},
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	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,
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	TITLE = {The ramification groups and different of a compositum of
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	FJOURNAL = {International Journal of Number Theory},
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	ISSN = {1793-0421},
	MRCLASS = {11R58 (11R20)},
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	MRREVIEWER = {Nigel Byott},
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	URL = {https://doi-1org-102eb17l619f1.han.amu.edu.pl/10.1142/S1793042110003617},
}

@article {Basev_reps_Z2_Z2,
	AUTHOR = {Ba\v{s}ev, V. A.},
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	JOURNAL = {Dokl. Akad. Nauk SSSR},
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	MRCLASS = {20.80},
	MRNUMBER = {0132097},
	MRREVIEWER = {R. Kochend\"{o}rffer},
}

@article {Katz_local_to_global,
	AUTHOR = {Katz, N. M.},
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	JOURNAL = {Ann. Inst. Fourier (Grenoble)},
	FJOURNAL = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
	VOLUME = {36},
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	NUMBER = {4},
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	ISSN = {0373-0956},
	MRCLASS = {14H30 (14B20 14E20)},
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}

@article{kontogeorgis_terezakis_new_obstruction,
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	journal={arXiv:2304.08377}
}

@book {Conway_Curtis_ATLAS,
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	TITLE = {{$\Bbb{ATLAS}$} of finite groups},
	NOTE = {Maximal subgroups and ordinary characters for simple groups,
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	PUBLISHER = {Oxford University Press, Eynsham},
	YEAR = {1985},
	PAGES = {xxxiv+252},
	ISBN = {0-19-853199-0},
	MRCLASS = {20D05 (20-02)},
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	MRREVIEWER = {R. L. Griess},
}

@article {Katz_Nilpotent_Connections,
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	FJOURNAL = {Institut des Hautes \'{E}tudes Scientifiques. Publications
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	NUMBER = {39},
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}

@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},
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	URL = {https://doi.org/10.1016/j.jpaa.2023.107384},
}

@article {Collins_Modular_analogues,
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	JOURNAL = {J. Reine Angew. Math.},
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	YEAR = {2008},
	PAGES = {143--171},
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}


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	DOI = {10.1090/S0894-0347-2011-00695-4},
	URL = {https://doi-1org-102eb17ax5485.han.amu.edu.pl/10.1090/S0894-0347-2011-00695-4},
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@article {Lombardo_Non-isogenous,
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}

@article{Daniels_Lozano_Conicidences,
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@book {Childs_Concrete_Higher_algebra,
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@book {Handbook_elliptic_hyperelliptic,
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	AUTHOR = {Kato, K.},
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	YEAR = {1981},
	PAGES = {155--165},
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	URL = {https://doi-1org-102eb170n00c5.han.amu.edu.pl/10.1016/0024-3795(81)90300-1},
}

@article{Buhler_Exact_Categories,
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	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,
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@article {Ribet_Galois_action_on_division_points,
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@book {Lang_Trotter_Frobenius_distributions,
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@article {Serre_proprietes,
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	JOURNAL = {Invent. Math.},
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	YEAR = {1972},
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}

@book {SchurI,
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@book {OMeara_Symplectic_groups,
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@article {Witt_Zyklische_Korper,
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	TITLE = {Zyklische {K}\"{o}rper und {A}lgebren der {C}harakteristik {$p$}
	vom {G}rad {$p^n$}. {S}truktur diskret bewerteter perfekter
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	{C}harakteristik {$p$}},
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	YEAR = {1937},
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	MRCLASS = {DML},
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	DOI = {10.1515/crll.1937.176.126},
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@article {Saidi_Williams_Galois_covers_ppppp,
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	URL = {https://projecteuclid-1org-102eb17e60058.han.amu.edu.pl/euclid.ojm/1524038728},
}


@article {Dobben_de_Br_Hodge_ring,
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	TITLE = {The {H}odge ring of varieties in positive characteristic},
	JOURNAL = {Algebra Number Theory},
	FJOURNAL = {Algebra \& Number Theory},
	VOLUME = {15},
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	NUMBER = {3},
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	ISSN = {1937-0652},
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	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},
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	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
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	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},
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	VOLUME = {224},
	YEAR = {2010},
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	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.},
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	JOURNAL = {Invent. Math.},
	FJOURNAL = {Inventiones Mathematicae},
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	YEAR = {1977},
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	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},
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	FJOURNAL = {Annals of Mathematics. Second Series},
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	DOI = {10.2307/1971021},
	URL = {https://doi-1org-102eb17k4003b.han.amu.edu.pl/10.2307/1971021},
}

@article {Liu_decomposition_suz,
	AUTHOR = {Liu, L. Q.},
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	VOLUME = {172},
	YEAR = {1995},
	NUMBER = {1},
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	MRCLASS = {20C34 (20C20)},
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	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},
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	PUBLISHER = {Amer. Math. Soc., [Providence], RI},
	YEAR = {2019},
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	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},
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	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},
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	YEAR = {1995},
	NUMBER = {6},
	PAGES = {1409--1429},
	ISSN = {0002-9327},
	MRCLASS = {11G05 (11G40)},
	MRNUMBER = {1363073},
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	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
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	NUMBER = {4},
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	ISSN = {0012-9593},
	MRCLASS = {14H37 (12F10 14L30 20B25)},
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	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.},
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	VOLUME = {144},
	YEAR = {2008},
	NUMBER = {4},
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	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},
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	NUMBER = {1},
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	ISSN = {2522-0160},
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	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
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	NOTE = {With a contribution by Joseph Daniel Harris},
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@article {Booher_Pries_Realizing,
	AUTHOR = {Booher, J. and Pries, R.},
	TITLE = {Realizing {A}rtin-{S}chreier covers of curves with minimal
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	YEAR = {2020},
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	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},
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	URL = {https://doi.org/10.2140/ant.2020.14.587},
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@article {Borne_Cohomology_of_G_sheaves,
	AUTHOR = {Borne, N.},
	TITLE = {Cohomology of {$G$}-sheaves in positive characteristic},
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@article {Landesman_Lombardo_Surjectivity_Rational_Families,
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@article {Anni_Dokchitser_Constructing_hyperelliptic,
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@Article{Yelton_Lifting_images,
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@book {Hachenberger_Jungnickel_Topics,
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@article {Arbarello_Cornalba_Footnotes,
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@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.},
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	URL = {https://doi.org/10.1016/0021-8693(78)90240-5},
}

@article {Valentini_Madan_Automorphisms,
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@book {Webb_finite_group_representations,
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@book {Washington_Intro_to_cyclotomic,
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@book {szamuely_galois_fundamental,
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	TITLE = {Divisibility of {L}-polynomials for a family of curves},
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@article {divisibility_l_polynomials_as,
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@article {further_cross_correlation,
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@article {decomposing_jacobians,
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@article {Kock_galois_structure,
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}

@article {elkin_pries_ekedahl_oort,
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@article {achinger_wild_ramification,
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@article{Ohshita2020,
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}

@book{Hindry_Silverman,
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@book{Lan_arithmetic_compactifications,
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@article {Clark_Xarles_local_bounds,
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@article {Oort_CM_liftings,
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@book {Chai_Conrad_CM_and_lifting_problems,
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@article {Hortsch_canonical_representation,
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@article{Ishii_trace, 
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@book {Stichtenoth_algebraic_function_fields,
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@incollection {Pries_short_guide,
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@article {Zarhin1985,
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@book {EGAIII,
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@book {Neukirch_ANT,
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@misc{achinger2017liftability,
    title={Liftability of the {F}robenius morphism and images of toric varieties},
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    year={2017},
    eprint={1708.03777},
    archivePrefix={arXiv},
    primaryClass={math.AG}
}

@article {Oda_first_de_rham,
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     TITLE = {The first de {R}ham cohomology group and {D}ieudonn\'{e} modules},
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  FJOURNAL = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure. Quatri\`eme
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MRREVIEWER = {J. S. Milne},
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@book {Voisin_hodge_book_I,
    AUTHOR = {Voisin, C.},
     TITLE = {Hodge theory and complex algebraic geometry. {I}},
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    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)},
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@article {Garnek_equivariant,
	AUTHOR = {Garnek, J.},
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@article {Garnek_class_numbers,
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@article {Nakajima_Automorphism,
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@article {Pop_OortConjecture,
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@article {KronbergSoomroTop,
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@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,
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}

@article {Kock2004,
    AUTHOR = {K\"{o}ck, B.},
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MRREVIEWER = {Nigel Byott},
       URL =
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}

@article {DeligneIllusie_relevements,
    AUTHOR = {Deligne, P. and Illusie, L.},
     TITLE = {Rel\`evements modulo {$p^2$} et d\'{e}composition du complexe de de
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  FJOURNAL = {Inventiones Mathematicae},
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MRREVIEWER = {Thomas Zink},
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  FJOURNAL = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
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}

@book {Jacobson_basic_I,
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@article {Subrao_p_rank,
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@article {GrothendieckQuelques,
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@incollection {WedhornDeRham,
    AUTHOR = {Wedhorn, T.},
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 BOOKTITLE = {Higher-dimensional geometry over finite fields},
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}

@article {HartshorneDeRham,
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  FJOURNAL = {Institut des Hautes \'{E}tudes Scientifiques. Publications
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   MRCLASS = {14F20},
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MRREVIEWER = {D. Lieberman},
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}

@book {Weibel,
    AUTHOR = {Weibel, Ch. A.},
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 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)},
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MRREVIEWER = {Kenneth A. Brown},
       DOI = {10.1017/CBO9781139644136},
       URL = {http://dx.doi.org/10.1017/CBO9781139644136},
}

@article {BertinMezard2000,
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  FJOURNAL = {Inventiones Mathematicae},
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  MRNUMBER = {1767273},
MRREVIEWER = {Akio Tamagawa},
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       URL = {https://doi.org/10.1007/s002220000071},
}

@article {Kontogeorgis,
    AUTHOR = {Kontogeorgis, A.},
     TITLE = {On the tangent space of the deformation functor of curves with
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   JOURNAL = {Algebra Number Theory},
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    VOLUME = {1},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {119--161},
      ISSN = {1937-0652},
   MRCLASS = {14H37 (14B10 14D15)},
  MRNUMBER = {2361938},
MRREVIEWER = {Arvid Siqveland},
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}

@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},
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}

@book {ErdmannWildon,
    AUTHOR = {Erdmann, K. and Wildon, M. J.},
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   MRCLASS = {17B05 (17-01 17B20)},
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MRREVIEWER = {Aloysius Helminck},
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       URL = {https://doi.org/10.1007/1-84628-490-2},
}

@book {JacobsonLie,
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     TITLE = {Lie algebras},
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     PAGES = {ix+331},
      ISBN = {0-486-63832-4},
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  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},
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 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.},
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    VOLUME = {141},
      YEAR = {2008},
    NUMBER = {1},
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   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,
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      NOTE = {With an appendix by Emmanuel Kowalski},
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  FJOURNAL = {Bulletin of the London Mathematical Society},
    VOLUME = {43},
      YEAR = {2011},
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     PAGES = {703--711},
      ISSN = {0024-6093},
   MRCLASS = {11G10 (14K15)},
  MRNUMBER = {2820155},
MRREVIEWER = {Ivica Gusi\'{c}},
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       URL = {https://doi.org/10.1112/blms/bdr004},
}

@article {Garnek2018,
    AUTHOR = {Garnek, J.},
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  FJOURNAL = {International Journal of Number Theory},
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      YEAR = {2018},
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       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},
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  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},
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  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},
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  number={6},
  pages={25},
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  year={1972},
}

@incollection {Kedlaya2008,
    AUTHOR = {Kedlaya, K. S.},
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@misc{lmfdb,
  shorthand    = {LMFDB},
  author       = {The {LMFDB Collaboration}},
  title        =  {The L-functions and Modular Forms Database},
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@book{Corvaja2016,
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@book {Serre2008,
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@book {HiltonStammbach1997,
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      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)},
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MRREVIEWER = {Frank Neumann},
}

@inbook{Tate1997,
	address = "New York, NY",
	author = "Tate, J.",
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	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",
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	publisher = "Springer New York",
	title = "{Modular Forms and Fermat's Last Theorem}",
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	year = "1997"
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@book{Silverman_AEC,
	author = "Silverman, J. H.",
	doi = "10.1007/978-0-387-09494-6",
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	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",
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@book{Silverman_Advanced,
	author = "Silverman, J. H.",
	doi = "10.1007/978-1-4612-0851-8",
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	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",
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@incollection{Shatz1996,
	author = "Shatz, S. S.",
	booktitle = "{Arithmetic geometry ({S}torrs, {C}onn., 1984)}",
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	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",
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	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",
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	year = "1985"
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@book{Hartshorne1977,
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@book{IrelandRosen1990,
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	mrreviewer = "Glenn Stevens",
	pages = "xiv+389",
	publisher = "Springer-Verlag, New York",
	series = "{Graduate Texts in Mathematics}",
	title = "{A classical introduction to modern number theory}",
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}

@article{DavidWeston2008,
	author = "David, Ch. and Weston, T.",
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	year = "2008"
}

@article{Cosgrave2014,
	author = "Cosgrave, J. B. and Dilcher, K.",
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	title = "{The {G}auss-{W}ilson theorem for quarter-intervals}",
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}

@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",
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	primaryclass = "math.AG",
	title = "{On p-torsion of p-adic elliptic curves with additive reduction}",
	year = 2012
}

@book{Davenport2000,
	author = "Davenport, Harold",
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	mrclass = "11-02 (11-01 11Mxx 11Nxx)",
	mrnumber = "1790423",
	note = "Revised and with a preface by Hugh L. Montgomery",
	pages = "xiv+177",
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	title = "{Multiplicative number theory}",
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@book{Cox1989,
	author = "Cox, David A.",
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	note = "Fermat, class field theory and complex multiplication",
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	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",
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	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}",
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@article{Gamzon2014,
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	pages = "1807--1827",
	title = "{Local torsion on abelian surfaces with real multiplication by {${\bf Q}(\sqrt{5})$}}",
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@book{Gamzon2012,
	author = "Gamzon, Adam B.",
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	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",
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	mrclass = "14Kxx",
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	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",
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@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)",
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	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.",
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	mrreviewer = "J. A. Johnson",
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	title = "{Introduction to commutative algebra}",
	year = "1969"
}

@book{Milne1980,
	author = "Milne, J. S.",
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	mrreviewer = "G. Horrocks",
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	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",
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	mrclass = "20G15 (14L15)",
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	pages = "xxiv+665",
	publisher = "Cambridge University Press, Cambridge",
	series = "{New Mathematical Monographs}",
	title = "{Pseudo-reductive groups}",
	url = "http://dx.doi.org/10.1017/CBO9781316092439",
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	year = "2015"
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@article{Deuring1941,
	author = "Deuring, M.",
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	mrclass = "09.1X",
	mrnumber = "0005125",
	mrreviewer = "S. Mac Lane",
	pages = "197--272",
	title = "{Die {T}ypen der {M}ultiplikatorenringe elliptischer {F}unktionenk{\"o}rper}",
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	year = "1941"
}

@book{Serre1979,
	author = "Serre, J.-P.",
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	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},
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    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,
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	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
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	FJOURNAL = {Hiroshima Mathematical Journal},
	VOLUME = {49},
	YEAR = {2019},
	NUMBER = {1},
	PAGES = {117--127},
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	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",
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	mrclass = "11G10 (14K15)",
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	url = "http://dx.doi.org/10.1016/j.jnt.2005.01.008",
	volume = "115",
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}

@book{MalleTesterman,
	author = "Malle, G. and Testerman, D.",
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	publisher = "Cambridge University Press, Cambridge",
	series = "{Cambridge Studies in Advanced Mathematics}",
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}