Blickle, Manuel; Bondu, Raphaël
Local cohomology multiplicities in terms of étale cohomology  [ Multiplicités de la cohomologie locale en termes de cohomologie étale ]
Annales de l'institut Fourier, Tome 55 (2005) no. 7 , p. 2239-2256
Zbl 1092.14005 | MR 2207383
doi : 10.5802/aif.2160
URL stable : http://www.numdam.org/item?id=AIF_2005__55_7_2239_0

Classification:  14B15,  14F20
Mots clés: cohomologie locale, caractéristique p, faisceaux pervers
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/p𝐙.
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/p𝐙 coefficients.

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