Computing the equivariant Euler characteristic of Zariski and etale sheaves on curves
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/Lnsted, Nakajima, Kani and Ksir) which can also be applied in the \'etale case.
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