Local cohomology multiplicities in terms of étale cohomology

Manuel Blickle[1]; Raphaël Bondu[2]

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

Annales de l'institut Fourier (2005)

  • Volume: 55, Issue: 7, page 2239-2256
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Blickle, Manuel, and Bondu, Raphaël. "Local cohomology multiplicities in terms of étale cohomology." Annales de l'institut Fourier 55.7 (2005): 2239-2256. <http://eudml.org/doc/116253>.

@article{Blickle2005,
abstract = {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 $\{\bf Z\}/p\bf Z$ coefficients.},
affiliation = {Universität Essen, FB6 Mathematik, 45117 Essen (Allemagne); 9 rue des Ternes, 75017 Paris (France)},
author = {Blickle, Manuel, Bondu, Raphaël},
journal = {Annales de l'institut Fourier},
keywords = {Local cohomology; characteristic $p$; perverse sheaves; local cohomology; characteristic },
language = {eng},
number = {7},
pages = {2239-2256},
publisher = {Association des Annales de l'Institut Fourier},
title = {Local cohomology multiplicities in terms of étale cohomology},
url = {http://eudml.org/doc/116253},
volume = {55},
year = {2005},
}

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
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 7
SP - 2239
EP - 2256
AB - 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 ${\bf Z}/p\bf Z$ coefficients.
LA - eng
KW - Local cohomology; characteristic $p$; perverse sheaves; local cohomology; characteristic
UR - http://eudml.org/doc/116253
ER -

References

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  14. G. Lyubeznik, Finiteness properties of local cohomology modules (an application of D -modules to commutative algebra), Invent. Math. 113 (1993), 41-55 Zbl0795.13004MR1223223
  15. G. Lyubeznik, -modules: an application to local cohomology and D -modules in characteristic p g t ; 0 , Journal für reine und angewandte Mathematik 491 (1997), 65-130 Zbl0904.13003MR1476089
  16. D. B. Massey, Intersection Cohomology, Monodromy, and the Milnor Fiber Zbl1183.32009
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