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Local cohomology multiplicities in in terms of étale cohomolgy

Manuel Blickle·Raphael Bondu
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Abstract

We give a description of certain local cohomology invariants (introduced by Lyubeznik) for a class of mildly singular varieties in positive characteristic. The novelty of our approuch lies in using the new Riemann-Hilbert type correspondenc of Emerton and Kisin to express these invariants in terms of 'etale cohomology with ZZ/pZZ coefficients. Thus we are able to obtain results in positive characteristic whereas earlier approaches were restricted (due to the use of de Rham theory) to the analytic case.

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Manuel Blickle, Raphael Bondu. 2006-03-08. Local cohomology multiplicities in in terms of étale cohomolgy. https://arxiv.org/abs/math/0406265

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