Tate-Shafarevich groups and K3 surfaces

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Following (and elaborating on) a method of Logan and van Luijk, we exhibit explicit genus-2 curves whose Jacobians have nontrivial 2-torsion in their Tate-Shafarevich groups.
17 pages, comments welcome

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Number Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/143070

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.4436
 http://arxiv.org/abs/0711.4436

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arXiv