Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves
Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves
We prove an equivariant Grothendieck-Ogg-Shafarevich formula. This formula may be viewed as an étale analogue of well-known formulas for Zariski sheaves generalizing the classical Chevalley-Weil formula. We give a new approach to those formulas (first proved by Ellingsrud/Lonsted,Nakajima, Kani and Ksir) which can also be applied in the etale case.
equivariant euler characteristic, etale cohomology, grothendieck-ogg-
shafarevich formula, conductor, lefschetz formula, riemann-roch formula, hurwitz formula
83-98
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
2005
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
Koeck, Bernhard
(2005)
Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves.
[in special issue: Proceedings of a Conference held at the University of Southampton to honour the sixtieth birthday of Victor Snaith, March 30 to April 2, 2004]
Homology, Homotopy and Applications, 7 (3), .
Abstract
We prove an equivariant Grothendieck-Ogg-Shafarevich formula. This formula may be viewed as an étale analogue of well-known formulas for Zariski sheaves generalizing the classical Chevalley-Weil formula. We give a new approach to those formulas (first proved by Ellingsrud/Lonsted,Nakajima, Kani and Ksir) which can also be applied in the etale case.
Text
Ogg3.pdf
- Accepted Manuscript
More information
Published date: 2005
Keywords:
equivariant euler characteristic, etale cohomology, grothendieck-ogg-
shafarevich formula, conductor, lefschetz formula, riemann-roch formula, hurwitz formula
Identifiers
Local EPrints ID: 29788
URI: http://eprints.soton.ac.uk/id/eprint/29788
PURE UUID: c20f2184-95fe-4f99-8857-c05819231e9b
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Date deposited: 11 May 2006
Last modified: 16 Mar 2024 03:22
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