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, pp. 2239-2256.

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.

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
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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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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