The l-component of the unipotent Albanese map

被引：19
|
作者：
Kim, Minhyong [1 ,2 ]
Tamagawa, Akio [3 ]
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47906 USA
[2] Korea Inst Adv Study, Seoul 130722, South Korea
[3] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan
来源：
MATHEMATISCHE ANNALEN | 2008年 / 340卷 / 01期
关键词：
Fundamental Group; Elliptic Curve; Vector Group; Zariski Closure; Global Point;
D O I：
10.1007/s00208-007-0151-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a finiteness theorem for the local I :A p-component of the Q(p)-unipotent Albanese map for curves. As an application, we refine the non-abelian Selmer varieties arising in the study of global points and deduce thereby a new proof of Siegel's theorem for affine curves over Q of genus one with Mordell-Weil rank at most one.
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页码：223 / 235
页数：13
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