Computing the equivariant Euler characteristic of Zariski and etale sheaves on curves
Algebraic Geometry
2007-05-23 v2
Abstract
We prove an equivariant Grothendieck-Ogg-Shafarevich formula. This formula may be viewed as an \'etale 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/L{\o}nsted, Nakajima, Kani and Ksir) which can also be applied in the \'etale case.
Keywords
Cite
@article{arxiv.math/0104212,
title = {Computing the equivariant Euler characteristic of Zariski and etale sheaves on curves},
author = {Bernhard Köck},
journal= {arXiv preprint arXiv:math/0104212},
year = {2007}
}
Comments
16 pages; v2: generalizations of a theorem of Ksir added and substantially revised