A Mordell-Weil theorem for abelian varieties over fields generated by torsion points

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.

8 pages

Cited by in corpus (2)

• Model theory of special subvarieties and Schanuel-type conjectures
• Fields Generated by Finite Rank Subgroups of ${\overline{\mathbb{Q}}}^{\ast }$