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

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We 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.
17 pages, comments welcome

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Number Theory, Algebraic Geometry, 11G05, 14J28, 14C22

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http://salesiana.dossiersoluciones.com/handle/123456789/136425

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.2752
 http://arxiv.org/abs/0708.2752

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arXiv