On the Galois module structure of semisimple holomorphic differentials

DOI10.1007/BF02773225zbMath0962.11035OpenAlexW2062110021MaRDI QIDQ1976621

Pedro Ricardo López-Bautista, Gabriel Daniel Villa-Salvador

Publication date: 19 September 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773225

zbMATH Keywords

Cartier operatorholomorphic differentialsHeller operation

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (3)

On holomorphic polydifferentials in positive characteristic ⋮ Automorphisms of curves and Weierstrass semigroups for Harbater–Katz–Gabber covers ⋮ Representation of cyclic groups in positive characteristic and Weierstrass semigroups

Cites Work

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• Integral representations of p-class groups in \({\mathbb{Z}}_ p\)-extensions, semisimple differentials and Jacobians
• Equivariant form of the Deuring-Šafarevič formula for Hasse-Witt invariants
• Some \(p\)-adic Galois representations for curves in characteristic \(p\)
• Structure of semisimple differentials and p-class groups in \({\mathbb{Z}}_ p\)-extensions
• The p-rank of Artin-Schreier curves
• Representations of automorphisms on differentials of function fields of characteristic p.
• Genus Change in Inseparable Extensions of Function Fields

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