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math.AG2019
Survey on special subloci of the moduli spaces of local systems on complex varieties
Hélène Esnault
It is a short report for the ICCM2019 Proceedings on recent results obtained with Michael Groechenig and Moritz Kerz concerning special subloci of the Betti moduli space of irreduc…
math.AG2019
Étale cohomology of rank one -adic local systems in positive characteristic
Hélène Esnault, Moritz Kerz
We show that in positive characteristic special loci of deformation spaces of rank one -adic local systems are quasilinear. From this we deduce the Hard Lefschetz theorem for…
math.AG2019
Arithmetic subspaces of moduli spaces of rank one local systems
Hélène Esnault, Moritz Kerz
We show that closed subsets of the character variety of a complex variety with negatively weighted homology, which are -adically integral and Galois invariant, are motivic. Fina…