Analytic families of finite-slope Selmer groups

被引：34
作者：
Pottharst, Jonathan [1 ]
机构：
[1] Boston Univ, Dept Math & Stat, Boston, MA 02215 USA
来源：
ALGEBRA & NUMBER THEORY | 2013年 / 7卷 / 07期
关键词：
Iwasawa theory; Selmer group; families of Galois representations; (phi; Gamma); modules;
D O I：
10.2140/ant.2013.7.1571
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop a theory of Selmer groups for analytic families of Galois representations, which are only assumed "ordinary" on the level of their underlying. (phi, Gamma) modules. Our approach brings the finite- slope nonordinary case of Iwasawa theory onto an equal footing with ordinary cases in which p is inverted.
引用
收藏
页码：1571 / 1612
页数：42
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