Brauer groups of smooth loci in linear systems are bounded by Z/2Z under ampleness, with application to computing Tate-Shafarevich groups for Jacobians of plane curves.
Samuel Roberts.Sur l’ordre des conditions de la coexistence des ´ equations alg´ ebriques ` a plusieurs variables
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Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves
Brauer groups of smooth loci in linear systems are bounded by Z/2Z under ampleness, with application to computing Tate-Shafarevich groups for Jacobians of plane curves.