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arXiv 2001-04-23 0 views

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

Köck, Bernhard

Original · EN

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/Lønsted, Nakajima, Kani and Ksir) which can also be applied in the étale case.

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