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 coefficients.
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 .
Keywords: Local cohomology, characteristic $p$, perverse sheaves, Local cohomology, characteristic $p$, perverse sheaves
Mot clés : cohomologie locale, caractéristique $p$, faisceaux pervers
@article{AIF_2005__55_7_2239_0, 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/} }
TY - JOUR AU - Blickle, Manuel AU - Bondu, Raphaël TI - Local cohomology multiplicities in terms of étale cohomology JO - Annales de l'Institut Fourier PY - 2005 SP - 2239 EP - 2256 VL - 55 IS - 7 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2160/ DO - 10.5802/aif.2160 LA - en ID - AIF_2005__55_7_2239_0 ER -
%0 Journal Article %A Blickle, Manuel %A Bondu, Raphaël %T Local cohomology multiplicities in terms of étale cohomology %J Annales de l'Institut Fourier %D 2005 %P 2239-2256 %V 55 %N 7 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2160/ %R 10.5802/aif.2160 %G en %F AIF_2005__55_7_2239_0
Blickle, Manuel; Bondu, Raphaël. Local cohomology multiplicities in terms of étale cohomology. Annales de l'Institut Fourier, Volume 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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