Computing the equivariant Euler characteristic of Zariski and etale sheaves on curves

Details Computing the equivariant Euler characteristic of Zariski and etale sheaves on curves Computing the equivariant Euler characteristic of Zariski and etale sheaves on curves

2001-04-23

arxiv.org/abs/math/0104212v2

Mathematics

Algebraic Geometry

16 pages; v2: generalizations of a theorem of Ksir added and substantially revised

Scientific paper

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.

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