Galois structure of Zariski cohomology for weakly ramified covers of curves

Bernhard Köck

Type: Article

Publication Date: 2004-10-01

Citations: 45

DOI: https://doi.org/10.1353/ajm.2004.0037

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.

Locations

American Journal of Mathematics - View
arXiv (Cornell University) - View
CiteSeer X (The Pennsylvania State University) - View - PDF
ePrints Soton (University of Southampton) - View - PDF

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Works Cited by This (23)

Action	Title	Year	Authors
+	The Galois-module structure of the space of holomorphic differentials of a curve.	1986	Ernst Kani
+	Geometric trends in Galois module theory	1998	Boas Erez
+ PDF Chat	Normal Bases in Galois Extensions of Number Fields	1969	Stephen V. Ullom
+ PDF Chat	Une formule de Riemann-Roch équivariante pour les courbes	2003	Niels Borne
+	Linear Representations of Finite Groups	1977	Jean-Pierre Serre
+ PDF Chat	Integral Normal Bases in Galois Extensions of Local Fields	1970	Stephen V. Ullom
+	Theorie der relativ-zyklischen algebraischen Funktionenkörper, insbesondere bei endlichem Konstantenkörper.	1935	Helmut Hasse
+	Euler–Poincaré formula in equal characteristic¶under ordinariness assumptions	2000	Richard Pink
+	Action of an automorphism of order p on cohomology groups of an algebraic curve	1986	Shōichi Nakajima
+	The Lefschetz Theorem in Higher Equivariant<i>K</i>-theory	1991	Köck Berhard