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Detecting linear dependence by reduction maps

Grzegorz Banaszak·Wojciech Gajda·Piotr Krason
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Abstract

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.

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Grzegorz Banaszak, Wojciech Gajda, Piotr Krason. 2004-07-14. Detecting linear dependence by reduction maps. https://arxiv.org/abs/math/0407249

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