MULTIPLICATIVE REDUCTION AND THE CYCLOTOMIC MAIN CONJECTURE FOR GL2

被引：18

作者：

Skinner, Christopher ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Fine Hall,Washington Rd, Princeton, NJ 08544 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2016年 / 283卷 / 01期

基金：

美国国家科学基金会;

关键词：

Iwasawa theory; special values of L-functions; Selmer groups; MODULAR-FORMS; ELLIPTIC-CURVES; IWASAWA INVARIANTS; REPRESENTATIONS;

D O I：

10.2140/pjm.2016.283.171

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the cyclotomic Iwasawa-Greenberg main conjecture holds for a large class of modular forms with multiplicative reduction at p, extending previous results for the good ordinary case. In fact, the multiplicative case is deduced from the good case through the use of Hida families and a simple Fitting ideal argument.

引用

页码：171 / 200

页数：30

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