106 lines
3.7 KiB
Plaintext
106 lines
3.7 KiB
Plaintext
\begin{thebibliography}{10}
|
|
|
|
\bibitem{Bleher_Camacho_Holomorphic_differentials}
|
|
F.~M. Bleher and N.~Camacho.
|
|
\newblock Holomorphic differentials of {K}lein four covers.
|
|
\newblock {\em J. Pure Appl. Algebra}, 227(10):Paper No. 107384, 27, 2023.
|
|
|
|
\bibitem{Bleher_Chinburg_Kontogeorgis_Galois_structure}
|
|
F.~M. Bleher, T.~Chinburg, and A.~Kontogeorgis.
|
|
\newblock Galois structure of the holomorphic differentials of curves.
|
|
\newblock {\em J. Number Theory}, 216:1--68, 2020.
|
|
|
|
\bibitem{Borevic_Faddeev}
|
|
Z.~I. {Borevi\v{c}} and D.~K. Faddeev.
|
|
\newblock Theory of homology in groups. {II}. {P}rojective resolutions of
|
|
finite groups.
|
|
\newblock {\em Vestnik Leningrad. Univ.}, 14(7):72--87, 1959.
|
|
|
|
\bibitem{Curtis_Reiner_Methods_II}
|
|
C.~W. Curtis and I.~Reiner.
|
|
\newblock {\em Methods of representation theory. {V}ol. {II}}.
|
|
\newblock Pure and Applied Mathematics (New York). John Wiley \& Sons, Inc.,
|
|
New York, 1987.
|
|
\newblock With applications to finite groups and orders, A Wiley-Interscience
|
|
Publication.
|
|
|
|
\bibitem{Dummigan_99}
|
|
N.~Dummigan.
|
|
\newblock Complete {$p$}-descent for {J}acobians of {H}ermitian curves.
|
|
\newblock {\em Compositio Math.}, 119(2):111--132, 1999.
|
|
|
|
\bibitem{Garnek_equivariant}
|
|
J.~Garnek.
|
|
\newblock Equivariant splitting of the {H}odge-de {R}ham exact sequence.
|
|
\newblock {\em Math. Z.}, 300(2):1917--1938, 2022.
|
|
|
|
\bibitem{Garnek_p_gp_covers}
|
|
J.~Garnek.
|
|
\newblock {$p$}-group {G}alois covers of curves in characteristic {$p$}.
|
|
\newblock {\em Trans. Amer. Math. Soc.}, 376(8):5857--5897, 2023.
|
|
|
|
\bibitem{Garnek_p_gp_covers_ii}
|
|
J.~Garnek.
|
|
\newblock $p$-group {G}alois covers of curves in characteristic $p$ {II}, 2023.
|
|
|
|
\bibitem{garnek_indecomposables}
|
|
J.~Garnek.
|
|
\newblock Indecomposable direct summands of cohomologies of curves, 2024.
|
|
\newblock arXiv 2410.03319.
|
|
|
|
\bibitem{Gross_Rigid_local_systems_Gm}
|
|
B.~H. Gross.
|
|
\newblock Rigid local systems on {$\Bbb G_m$} with finite monodromy.
|
|
\newblock {\em Adv. Math.}, 224(6):2531--2543, 2010.
|
|
|
|
\bibitem{Hartshorne1977}
|
|
R.~Hartshorne.
|
|
\newblock {\em {Algebraic geometry}}.
|
|
\newblock Springer-Verlag, New York-Heidelberg, 1977.
|
|
\newblock Graduate Texts in Mathematics, No. 52.
|
|
|
|
\bibitem{Heller_Reiner_Reps_in_integers_I}
|
|
A.~Heller and I.~Reiner.
|
|
\newblock Representations of cyclic groups in rings of integers. {I}.
|
|
\newblock {\em Ann. of Math. (2)}, 76:73--92, 1962.
|
|
|
|
\bibitem{Higman}
|
|
D.~G. Higman.
|
|
\newblock Indecomposable representations at characteristic {$p$}.
|
|
\newblock {\em Duke Math. J.}, 21:377--381, 1954.
|
|
|
|
\bibitem{laurent_kock_drinfeld}
|
|
L.~Laurent and B.~K{\"{o}}ck.
|
|
\newblock The canonical representation of the drinfeld curve.
|
|
\newblock {\em Mathematische Nachrichten}, online first, 2024.
|
|
|
|
\bibitem{Lusztig_Coxeter_orbits}
|
|
G.~Lusztig.
|
|
\newblock Coxeter orbits and eigenspaces of {F}robenius.
|
|
\newblock {\em Invent. Math.}, 38(2):101--159, 1976/77.
|
|
|
|
\bibitem{WardMarques_HoloDiffs}
|
|
S.~Marques and K.~Ward.
|
|
\newblock Holomorphic differentials of certain solvable covers of the
|
|
projective line over a perfect field.
|
|
\newblock {\em Math. Nachr.}, 291(13):2057--2083, 2018.
|
|
|
|
\bibitem{Prest}
|
|
M.~Prest.
|
|
\newblock Wild representation type and undecidability.
|
|
\newblock {\em Comm. Algebra}, 19(3):919--929, 1991.
|
|
|
|
\bibitem{Serre1979}
|
|
J.-P. Serre.
|
|
\newblock {\em {Local fields}}, volume~67 of {\em {Graduate Texts in
|
|
Mathematics}}.
|
|
\newblock Springer-Verlag, New York-Berlin, 1979.
|
|
\newblock Translated from the French by Marvin Jay Greenberg.
|
|
|
|
\bibitem{Valentini_Madan_Automorphisms}
|
|
R.~C. Valentini and M.~L. Madan.
|
|
\newblock Automorphisms and holomorphic differentials in characteristic~{$p$}.
|
|
\newblock {\em J. Number Theory}, 13(1):106--115, 1981.
|
|
|
|
\end{thebibliography}
|