Étale cohomology of rank one $$\ell $$-adic local systems in positive characteristic

Author:

Esnault Hélène,Kerz Moritz

Abstract

AbstractWe show that in positive characteristic special loci of deformation spaces of rank one $$\ell $$ -adic local systems are quasi-linear. From this we deduce the Hard Lefschetz theorem for rank one $$\ell $$ -adic local systems and a generic vanishing theorem.

Funder

Universität Regensburg

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy,General Mathematics

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