Brauer groups and Tate-Shafarevich groups

dc.creatorGonzalez-Aviles, Cristian D.
dc.date2001-04-24
dc.date.accessioned2026-07-07T04:41:25Z
dc.date.available2026-07-07T04:41:25Z
dc.descriptionLet X_K be a proper, smooth and geometrically connected curve over a global field K. In this paper we generalize a formula of Milne relating the order of the Tate-Shafarevich group of the Jacobian of X_K to the order of the Brauer group of a proper regular model of X_K. We thereby partially answer a question of Grothendieck.
dc.identifierhttps://arxiv.org/abs/math/0104214
dc.identifierhttp://arxiv.org/abs/math/0104214
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61348
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject11G35; 14K15;14G25
dc.titleBrauer groups and Tate-Shafarevich groups
dc.typetext

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