On the Mumford–Tate conjecture for 1-motives

被引：0
|
作者：
Peter Jossen
机构：
[1] Mathématiques,UMR 8628
[2] Université Paris-Sud,undefined
[3] CNRS,undefined
来源：
Inventiones mathematicae | 2014年 / 195卷
关键词：
Abelian Variety; Galois Representation; Hodge Structure; Weight Filtration; Algebraic Subgroup;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that the statement analogous to the Mumford–Tate conjecture for Abelian varieties holds for 1-motives on unipotent parts. This is done by comparing the unipotent part of the associated Hodge group and the unipotent part of the image of the absolute Galois group with the unipotent part of the motivic fundamental group.
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页码：393 / 439
页数：46
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