Detecting linear dependence by reduction maps

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We consider the local to global principle for detecting linear dependence of points in groups of the Mordell-Weil type. As applications of our general setting we obtain corresponding statements for Mordell-Weil groups of non{-}CM elliptic curves and some higher dimensional abelian varieties defined over number fields, and also for odd dimensional K-groups of number fields.
This is a revised version of the MPI preprint no. 14 from March 2003

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Number Theory, Algebraic Geometry, 11G10, 14K15, 14L15

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http://salesiana.dossiersoluciones.com/handle/123456789/71889

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407249
 http://arxiv.org/abs/math/0407249

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arXiv