Galois structure of Zariski cohomology for weakly ramified covers of curves

2002/07/15 by Bernhard Köck, Köck, Bernhard · 2 citations
Mathematics · #11S20 #14F10 #14H30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Number Theory (math.NT) #math.AG #math.KT #math.NT #msc:11S20 #msc:14F10 #msc:14H30

paper · pdf · doi:10.48550/arxiv.math/0207124

18 pages; v2: 22 pages, further result added, paper restructured and revised

openalex publication_date 2002/07/15 · arxiv created 2002/09/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute equivariant Euler characteristics of locally free sheaves on curves, thereby generalizing several results of Kani and Nakajima. For instance, we extend Kani's computation of the Galois module structure of the space of global meromorphic differentials which are logarithmic along the ramification locus from the tamely ramified to the weakly ramified case.

Cited by

• Pluricanonical Geometry of Varieties Isogenous to a Product and Abelian Covers
• Holomorphic differentials of alternating four covers

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