Detecting linear dependence by reduction maps

Details Detecting linear dependence by reduction maps Detecting linear dependence by reduction maps

2004-07-14

arxiv.org/abs/math/0407249v1

Mathematics

Number Theory

This is a revised version of the MPI preprint no. 14 from March 2003

Scientific paper

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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