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

Köck, Bernhard

Köck, Bernhard

Homology Homotopy Appl., Tome 7 (2005) no. 3, p. 83-98 / Harvested from Project Euclid

Résumé

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.

Publié le : 2005-05-14
Classification: 14F20, 14L30, 14H30

@article{1139839292,
     author = {K\"ock, Bernhard},
     title = {Computing the equivariant Euler characteristic of Zariski and \'etale sheaves on curves},
     journal = {Homology Homotopy Appl.},
     volume = {7},
     number = {3},
     year = {2005},
     pages = { 83-98},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1139839292}
}

Köck, Bernhard. Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves. Homology Homotopy Appl., Tome 7 (2005) no. 3, pp.  83-98. http://gdmltest.u-ga.fr/item/1139839292/