The cyclotomic Iwasawa main conjecture for Hilbert cusp forms with complex multiplication

被引：2

作者：

Hara, Takashi ^{[1
]}

Ochiai, Tadashi ^{[2
]}

机构：

[1] Tokyo Denki Univ, Sch Sci & Technol Future Life, Tokyo 1208551, Japan

[2] Osaka Univ, Grad Sch Sci, Osaka 5600043, Japan

来源：

KYOTO JOURNAL OF MATHEMATICS | 2018年 / 58卷 / 01期

关键词：

ADIC L-FUNCTIONS; TOTALLY-REAL FIELDS; MODULAR-FORMS; SPECIAL VALUES; CM FIELDS; ELLIPTIC-CURVES; ZETA-FUNCTIONS; SELMER GROUP; REPRESENTATIONS; CONGRUENCE;

D O I：

10.1215/21562261-2017-0018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deduce the cyclotomic Iwasawa main conjecture for Hilbert modular cusp forms with complex multiplication from the multivariable main conjecture for CM number fields. To this end, we study in detail the behavior of the p-adic L-functions and the Selmer groups attached to CM number fields under specialization procedures.

引用

页码：1 / 100

页数：100

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