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

Esnault, Helene and Kerz, Moritz (2021) Etale cohomology of rank one ℓ-adic local systems in positive characteristic. SELECTA MATHEMATICA-NEW SERIES, 27 (4): 58. ISSN 1022-1824, 1420-9020

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Abstract

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

Item Type: Article
Uncontrolled Keywords: VANISHING THEOREMS; MODULI SPACES; CONJECTURE; SUBSPACES; CATANESE; SHEAVES
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Moritz Kerz
Depositing User: Dr. Gernot Deinzer
Date Deposited: 28 Jul 2022 09:53
Last Modified: 28 Jul 2022 09:53
URI: https://pred.uni-regensburg.de/id/eprint/46153

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