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

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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

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Number Theory, 11G10; 11R34

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http://salesiana.dossiersoluciones.com/handle/123456789/74545

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503378
 http://arxiv.org/abs/math/0503378

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arXiv