[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 = {Banaszak, Grzegorz},
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},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2009.03.014/}
}
TY - JOUR AU - Banaszak, Grzegorz TI - On a Hasse principle for Mordell–Weil groups JO - Comptes Rendus. Mathématique PY - 2009 SP - 709 EP - 714 VL - 347 IS - 13-14 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2009.03.014/ DO - 10.1016/j.crma.2009.03.014 LA - en ID - CRMATH_2009__347_13-14_709_0 ER -
%0 Journal Article %A Banaszak, Grzegorz %T On a Hasse principle for Mordell–Weil groups %J Comptes Rendus. Mathématique %D 2009 %P 709-714 %V 347 %N 13-14 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2009.03.014/ %R 10.1016/j.crma.2009.03.014 %G en %F CRMATH_2009__347_13-14_709_0
Banaszak, Grzegorz. On a Hasse principle for Mordell–Weil groups. Comptes Rendus. Mathématique, Tome 347 (2009) no. 13-14, pp. 709-714. doi : 10.1016/j.crma.2009.03.014. http://archive.numdam.org/articles/10.1016/j.crma.2009.03.014/
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