On a Hasse principle for Mordell–Weil groups

Grzegorz Banaszak

doi:10.1016/j.crma.2009.03.014

Number Theory

On a Hasse principle for Mordell–Weil groups
[Un principe de Hasse pour les groupes de Mordell–Weil]

Présenté par : Christophe Soulé

Grzegorz Banaszak ¹

¹ Department of Mathematics, Adam Mickiewicz University, 61614 Poznań, Poland

Comptes Rendus. Mathématique, Volume 347 (2009) no. 13-14, pp. 709-714.

Résumé
Abstract

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.

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.

Reçu le : 2008-04-07
Accepté le : 2009-03-17
Publié le : 2009-05-07

DOI : 10.1016/j.crma.2009.03.014

Affiliations des auteurs :

Grzegorz Banaszak ¹

¹ Department of Mathematics, Adam Mickiewicz University, 61614 Poznań, Poland

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Grzegorz Banaszak. 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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.03.014/

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