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

Hélène Esnault, Moritz Kerz

• 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.