Local cohomology multiplicities in terms of étale cohomology

Blickle, Manuel; Bondu, Raphaël

doi:10.5802/aif.2160

Local cohomology multiplicities in terms of étale cohomology
[Multiplicités de la cohomologie locale en termes de cohomologie étale]

Blickle, Manuel ¹ ; Bondu, Raphaël ²

¹ Universität Essen, FB6 Mathematik, 45117 Essen (Allemagne)
² 9 rue des Ternes, 75017 Paris (France)

Annales de l'Institut Fourier, Tome 55 (2005) no. 7, pp. 2239-2256.

Résumé
Abstract

En utilisant la correspondance récemment introduite par Emerton et Kisin, nous donnons une description des invariants de cohomologie locale de Lyubeznik en termes de cohomologie locale étale à coefficients dans $𝐙 / p 𝐙$ .

Using a recently introduced correspondence of Emerton-Kisin we give a description of Lyubeznik’s local cohomology invariants in terms of local étale cohomology with $𝐙 / p 𝐙$ coefficients.

EuDML MR Zbl

DOI : 10.5802/aif.2160

Classification : 14B15, 14F20
Keywords: Local cohomology, characteristic $p$, perverse sheaves, Local cohomology, characteristic $p$, perverse sheaves
Mot clés : cohomologie locale, caractéristique $p$, faisceaux pervers

Affiliations des auteurs :

Blickle, Manuel ¹ ; Bondu, Raphaël ²

¹ Universität Essen, FB6 Mathematik, 45117 Essen (Allemagne)
² 9 rue des Ternes, 75017 Paris (France)

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     author = {Blickle, Manuel and Bondu, Rapha\"el},
     title = {Local cohomology multiplicities in terms of \'etale cohomology},
     journal = {Annales de l'Institut Fourier},
     pages = {2239--2256},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {55},
     number = {7},
     year = {2005},
     doi = {10.5802/aif.2160},
     mrnumber = {2207383},
     zbl = {1092.14005},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.2160/}
}

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Blickle, Manuel; Bondu, Raphaël. Local cohomology multiplicities in terms of étale cohomology. Annales de l'Institut Fourier, Tome 55 (2005) no. 7, pp. 2239-2256. doi : 10.5802/aif.2160. http://www.numdam.org/articles/10.5802/aif.2160/

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