Number Theory
On a Hasse principle for Mordell–Weil groups
Comptes Rendus. Mathématique, Volume 347 (2009) no. 13-14, pp. 709-714.

In this Note we establish a Hasse principle concerning the linear dependence over Z of nontorsion points in the Mordell–Weil group of an abelian variety over a number field.

Dans cette Note, on démontre un principe de Hasse concernant la dépendance linéaire sur Z des points d'ordre infini dans le groupe de Mordell–Weil d'une variété abélienne définie sur un corps de nombres.

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Accepted:
Published online:
DOI: 10.1016/j.crma.2009.03.014
Banaszak, Grzegorz 1

1 Department of Mathematics, Adam Mickiewicz University, 61614 Poznań, Poland
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Banaszak, Grzegorz. On a Hasse principle for Mordell–Weil groups. Comptes Rendus. Mathématique, Volume 347 (2009) no. 13-14, pp. 709-714. doi : 10.1016/j.crma.2009.03.014. http://www.numdam.org/articles/10.1016/j.crma.2009.03.014/

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