The Iwasawa Main Conjectures for GL2

被引：144

作者：

Skinner, Christopher ^{[1
]}

Urban, Eric ^{[2
,3
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Inst Math Jussieu, F-75013 Paris, France

[3] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

INVENTIONES MATHEMATICAE | 2014年 / 195卷 / 01期

基金：

美国国家科学基金会;

关键词：

ADIC L-FUNCTIONS; ZETA-FUNCTIONS; EISENSTEIN SERIES; SPECIAL VALUES; ELLIPTIC-CURVES; REPRESENTATIONS; DEFORMATIONS; EXTENSIONS; VARIETIES; PERIODS;

D O I：

10.1007/s00222-013-0448-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the one-, two-, and three-variable Iwasawa-Greenberg Main Conjectures for a large class of modular forms that are ordinary with respect to an odd prime p. The method of proof involves an analysis of an Eisenstein ideal for ordinary Hida families for GU(2,2).

引用

页码：1 / 277

页数：277

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