ON THE μ-INVARIANT OF THE CYCLOTOMIC DERIVATIVE OF A KATZ p-ADIC L-FUNCTION

被引：10

作者：

Burungale, Ashay A. ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2015年 / 14卷 / 01期

基金：

美国国家科学基金会;

关键词：

Iwasawa invariant; Katz p-adic L-function; Hilbert modular Shimura variety; toric modular forms; anticyclotomic regulator; HECKE L-FUNCTIONS; MAIN CONJECTURES; FIELDS;

D O I：

10.1017/S1474748013000388

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

When the branch character has root number -1, the corresponding anticyclotomic Katz p-adic L-function vanishes identically. For this case, we determine the mu-invariant of the cyclotomic derivative of the Katz p-adic L-function. The result proves, as an application, the non-vanishing of the anticyclotomic regulator of a self-dual CM modular form with root number -1. The result also plays a crucial role in the recent work of Hsieh on the Eisenstein ideal approach to a one-sided divisibility of the CM main conjecture.

引用

页码：131 / 148

页数：18

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