Detecting linear dependence by reduction maps
Detecting linear dependence by reduction maps
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通过简化图检测线性相关性
DOI：
10.1016/j.jnt.2005.01.008
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
P. Krasoń
中科院分区：
文献类型：
--
作者：
Grzegorz Banaszak;W. Gajda;P. Krasoń
本文考虑了Mordell-Weil型群中点的线性相关性的局部到整体原理，作为我们一般设置的应用，我们得到了非CM椭圆曲线的Mordell-Weil群和数域上的高维交换簇以及数域上的奇维K-群的相应陈述.
We consider the local-to-global principle for detecting linear dependence of points in groups of the Mordell–Weil type. As applications of our general setting we obtain corresponding statements for Mordell–Weil groups of non-CM elliptic curves and some higher-dimensional abelian varieties defined over number fields, and also for odd dimensional K-groups of number fields.