Cubic points on cubic curves and the Brauer-Manin obstruction on K3 surfaces

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dc.creatorvan Luijk, Ronald
dc.date2007-08-21
dc.date.accessioned2026-07-07T08:24:42Z
dc.date.available2026-07-07T08:24:42Z
dc.descriptionWe show that if over some number field there exists a certain diagonal plane cubic curve that is locally solvable everywhere, but that does not have points over any cubic galois extension of the number field, then the algebraic part of the Brauer-Manin obstruction is not the only obstruction to the Hasse principle for K3 surfaces.
dc.description17 pages, comments welcome
dc.identifierhttps://arxiv.org/abs/0708.2752
dc.identifierhttp://arxiv.org/abs/0708.2752
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136425
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G05, 14J28, 14C22
dc.titleCubic points on cubic curves and the Brauer-Manin obstruction on K3 surfaces
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