Detecting linear dependence by reduction maps, by Grzegorz Banaszak, Wojciech Gajda, and Piotr Krason

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.


Grzegorz Banaszak <banaszak@math.amu.edu.pl>
Wojciech Gajda <gajda@math.amu.edu.pl>
Piotr Krason <krason@uoo.univ.szczecin.pl>