FINE SELMER GROUP OF HIDA DEFORMATIONS OVER NON-COMMUTATIVE p-ADIC LIE EXTENSIONS

被引：0

作者：

Jha, Somnath ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

来源：

ASIAN JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 02期

关键词：

Selmer group; congruences of modular forms; Hida theory; p-adic Galois representation; non-commutative Iwasawa theory; IWASAWA; REPRESENTATIONS; INVARIANTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Selmer group and the fine Selmer group of p-adic Galois representations defined over a non-commutative p-adic Lie extension and their Hida deformations. For the fine Selmer group, we generalize the pseudonullity conjecture of [C-S] in this context and discuss its invariance in a branch of a Hida family. We relate the structure of the 'big' Selmer (resp. fine Selmer) group with the specialized individual Selmer (resp. fine Selmer) groups.

引用

页码：353 / 365

页数：13

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