On the Brauer-Manin obstruction for zero-cycles on curves

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dc.creatorEriksson, Dennis
dc.creatorScharaschkin, Victor
dc.date2006-02-16
dc.date.accessioned2026-07-07T07:03:30Z
dc.date.available2026-07-07T07:03:30Z
dc.descriptionWe wish to give a short elementary proof of S. Saito's result that the Brauer-Manin obstruction for zero-cycles of degree 1 is the only one for curves, supposing the finiteness of the Tate-Shafarevich-group $\sha^1(A)$ of the Jacobian variety. In fact we show that we only need a conjecturally finite part of the Brauer-group for this obstruction to be the only one. We also comment on the situation in higher dimensions
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0602355
dc.identifierhttp://arxiv.org/abs/math/0602355
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108995
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G30; 16K50; 14L10
dc.titleOn the Brauer-Manin obstruction for zero-cycles on curves
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