Galois structure of the holomorphic differentials of curves

DOI10.1016/j.jnt.2020.04.015zbMath1469.11203arXiv1707.07133OpenAlexW2739184394MaRDI QIDQ784706

Ted Chinburg, Aristides I. Kontogeorgis, Frauke M. Bleher

Publication date: 3 August 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07133

zbMATH Keywords

modular curvesprojective curvesholomorphic differentials

Mathematics Subject Classification ID

Modular representations and characters (20C20) Curves over finite and local fields (11G20) Modular and Shimura varieties (14G35) Algebraic functions and function fields in algebraic geometry (14H05) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items

𝑝-group Galois covers of curves in characteristic 𝑝, Holomorphic differentials of Klein four covers, The Galois module structure of holomorphic poly-differentials and Riemann-Roch spaces

Cites Work

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• Modular forms with large coefficient fields via congruences
• Galois module structure of cohomology groups for tamely ramified coverings of algebraic varieties
• A converse to the Fong-Swan-Isaacs theorem
• Automorphisms and holomorphic differentials in characteristic \(p\).
• Die Zerlegungsmatrizen der Gruppen \(PSL(2,p^f)\)
• \(\varepsilon\)-constants and the Galois structure of de Rham cohomology
• Universal deformation rings and cyclic blocks
• Representation of cyclic groups in positive characteristic and Weierstrass semigroups
• Galois module structure of holomorphic differentials in characteristic \(p\)
• Blocks with cyclic defect groups
• Sur quelques points d'algèbre homologique
• Zur Theorie der Weierstraßpunkte.Hermann Ludwig Schmid zum Gedächtnis
• Kroneckerian Model of Fields of Elliptic Modular Functions
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• The Galois-module structure of the space of holomorphic differentials of a curve.
• Geometric Invariant Theory
• Congruences between modular forms: Raising the level and dropping Euler factors
• Les Schémas de Modules de Courbes Elliptiques
• Holomorphic differentials of certain solvable covers of the projective line over a perfect field
• Endliche Gruppen I
• Cohomology of \(G\)-sheaves in positive characteristic