Geodesic
Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves
Homology, homotopy, and applications, Tome 7 (2005) no. 3, pp. 83-98.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2005.v7.n3.a6
Classification : 14F20, 14H30, 14L30
Keywords: equivariant Euler characteristic, étale cohomology, Grothendieck-Ogg-Shafarevich formula, conductor, Lefschetz formula, Riemann-Roch formula, Hurwitz formula 
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     author = {Bernhard K\"ock},
     title = {Computing the equivariant {Euler} characteristic of {Zariski} and \'etale sheaves on curves},
     journal = {Homology, homotopy, and applications},
     pages = {83--98},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2005.v7.n3.a6/}
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Bernhard Köck. Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves. Homology, homotopy, and applications, Tome 7 (2005) no. 3, pp. 83-98. doi : 10.4310/HHA.2005.v7.n3.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2005.v7.n3.a6/

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