Local to global principle for semiabelian varieties isogenous to the product of an abelian variety and a torus
Volume 200 / 2021
Acta Arithmetica 200 (2021), 221-258
MSC: Primary 11Gxx, 11G10; Secondary 14L10, 14L15.
DOI: 10.4064/aa190219-19-1
Published online: 6 October 2021
Abstract
We investigate linear dependence of points in Mordell–Weil groups of semiabelian varieties via reduction maps. We consider a local to global principle with respect to almost all primes as well as a finite number of primes.