Title:
Étale cohomology of rank one ℓ -adic local systems in positive characteristic
Author(s):
Esnault, Hélène; Kerz, Moritz
Year of publication:
2021
Available Date:
2021-08-10T07:24:31Z
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.
Part of Identifier:
e-ISSN (online): 1420-9020
Keywords:
vanishing theorems
moduli spaces
conjecture
DDC-Classification:
510 Mathematik
Publication Type:
Wissenschaftlicher Artikel
URL of the Original Publication:
DOI of the Original Publication:
Journaltitle:
Selecta Mathematica, New Series
Department/institution:
Mathematik und Informatik
Institut für Mathematik
