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

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

2005-03-18

arxiv.org/abs/math/0503378v1

Mathematics

Number Theory

8 pages

Scientific paper

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.

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