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Étale cohomology of rank one ℓ-adic local systems in positive characteristic

URN to cite this document:
urn:nbn:de:bvb:355-epub-461823
DOI to cite this document:
10.5283/epub.46182
Esnault, Hélène ; Kerz, Moritz
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Date of publication of this fulltext: 07 Jul 2021 05:26


Abstract

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


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