Galois module structure of holomorphic differentials in characteristic \(p\)
type: Item
instance of: scholarly article
title: Galois module structure of holomorphic differentials in characteristic \(p\)
zbMATH Open document ID: 0854.11061
DOI: 10.1007/BF01273346
author: Manohar L. Madan
author: Martha Rzedowski-Calderón
author: Gabriel D. Villa Salvador
published in: Archiv der Mathematik
publication date: 1996-11-22T00:00:00Z
review text: Let \(k\) be an algebraically closed field of characteristic \(p>0\). For a class of elementary abelian \(p\)-extensions of \(k(x)\) with Galois group \(G\), the structure of the set of holomorphic differentials is determined explicitly as a \(k[G]\)-module.
Mathematics Subject Classification ID: 11R58
Mathematics Subject Classification ID: 11R33
zbMATH DE Number: 937060
zbMATH Keywords: elementary abelian extensions of function fields
zbMATH Keywords: Galois group
zbMATH Keywords: holomorphic differentials
reviewed by: Gabriel D. Villa Salvador
MaRDI profile type: Publication
cites work: Zur Theorie der Weierstraßpunkte.Hermann Ludwig Schmid zum Gedächtnis
cites work: On weierstrass points on certain elementary abelian extensions Of k(x)
cites work: Elementary abelian \(p\)-extensions of algebraic function fields
cites work: The Galois-module structure of the space of holomorphic differentials of a curve.
cites work: Galois module structure of cohomology groups for tamely ramified coverings of algebraic varieties
cites work: Representations of automorphisms on differentials of function fields of characteristic p.
cites work: Automorphisms and holomorphic differentials in characteristic \(p\).
full work available at URL: https://doi.org/10.1007/bf01273346
OpenAlex ID: W2015955588
description: scientific article; zbMATH DE number 937060