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

• Hélène Esnault ^[2] ; Moritz Kerz ^[1]
  1. [1] University of Regensburg

     University of Regensburg

     Kreisfreie Stadt Regensburg, Alemania

     
  2. [2] Freie Universität Berlin, Alemania
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 4, 2021
• Idioma: inglés
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• Resumen

  • 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.