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Timeline for Finiteness of $H^2(X,\mu_n)$

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Nov 29, 2018 at 12:31 comment added naf If the Picard scheme of $X$ has any addtive subgroups, then the Kummer sequence implies that the group is not finite. If the Picard scheme is semi-abelian, then you can prove finiteness using the vanishing of the Brauer group of any curve over an algebraically closed field (Grothendieck: Groupe de Brauer III, Corollaire 1.2)
Nov 29, 2018 at 3:00 history asked ABC CC BY-SA 4.0