A Mordell-Weil theorem for abelian varieties over fields generated by torsion points
Number Theory
2007-05-23 v1
Abstract
If A is an abelian variety over a number field K, and L is a (possibly infinite) extension of K generated by torsion points of A, then the quotient of A(L) by its torsion subgroup is a free abelian group.
Cite
@article{arxiv.math/0503378,
title = {A Mordell-Weil theorem for abelian varieties over fields generated by torsion points},
author = {Michael Larsen},
journal= {arXiv preprint arXiv:math/0503378},
year = {2007}
}
Comments
8 pages