Detecting linear dependence by reduction maps
Number Theory
2007-05-23 v1 Algebraic Geometry
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.
Cite
@article{arxiv.math/0407249,
title = {Detecting linear dependence by reduction maps},
author = {Grzegorz Banaszak and Wojciech Gajda and Piotr Krason},
journal= {arXiv preprint arXiv:math/0407249},
year = {2007}
}
Comments
This is a revised version of the MPI preprint no. 14 from March 2003