On a Hasse principle for Mordell-Weil groups

被引：11

作者：

Banaszak, Grzegorz ^{[1
]}

机构：

[1] Adam Mickiewicz Univ Poznan, Dept Math, PL-61614 Poznan, Poland

来源：

COMPTES RENDUS MATHEMATIQUE | 2009年 / 347卷 / 13-14期

关键词：

ABELIAN-VARIETIES; SUPPORT PROBLEM; REDUCTION MAPS; NUMBER-FIELDS; KUMMER-THEORY; K-THEORY; REPRESENTATIONS; FINITENESS;

D O I：

10.1016/j.crma.2009.03.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. To cite this article: G. Banaszak, C. R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：709 / 714

页数：6

共 20 条

[1]

Banaszak G, 2005, HOMOL HOMOTOPY APPL, V7, P1

[2] Detecting linear dependence by reduction maps [J].