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

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Esnault, Hélène ; Kerz, Moritz
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Date of publication of this fulltext: 07 Jul 2021 05:26


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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