Galois structure of Zariski cohomology for weakly ramified covers of curves
Galois structure of Zariski cohomology for weakly ramified covers of curves
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.
galois modules, zariski surfaces, sheaf theory
1085-1107
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
October 2004
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
Koeck, Bernhard
(2004)
Galois structure of Zariski cohomology for weakly ramified covers of curves.
American Journal of Mathematics, 126 (5), .
(doi: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.
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126.5kock.pdf
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Published date: October 2004
Keywords:
galois modules, zariski surfaces, sheaf theory
Identifiers
Local EPrints ID: 29786
URI: http://eprints.soton.ac.uk/id/eprint/29786
ISSN: 0002-9327
PURE UUID: 0da8d834-310c-40a3-8108-8851a8e7a15a
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Date deposited: 12 May 2006
Last modified: 16 Mar 2024 03:22
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