[Un principe de Hasse pour les groupes de Mordell–Weil]
Dans cette Note, on démontre un principe de Hasse concernant la dépendance linéaire sur 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 of nontorsion points in the Mordell–Weil group of an abelian variety over a number field.
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@article{CRMATH_2009__347_13-14_709_0,
author = {Grzegorz Banaszak},
title = {On a {Hasse} principle for {Mordell{\textendash}Weil} groups},
journal = {Comptes Rendus. Math\'ematique},
pages = {709--714},
publisher = {Elsevier},
volume = {347},
number = {13-14},
year = {2009},
doi = {10.1016/j.crma.2009.03.014},
language = {en},
}
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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