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arXiv:math/0503378 [math.NT]AbstractReferencesReviewsResources

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

Michael Larsen

Published 2005-03-18Version 1

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.

Comments: 8 pages
Categories: math.NT
Subjects: 11G10, 11R34
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