TRANSCENDENCE OF HECKE OPERATORS IN THE BIG HECKE ALGEBRA

被引：4

作者：

Hida, Haruzo ^{[1
]}

机构：

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

来源：

DUKE MATHEMATICAL JOURNAL | 2014年 / 163卷 / 09期

基金：

美国国家科学基金会;

关键词：

GALOIS REPRESENTATIONS; COHOMOLOGY;

D O I：

10.1215/00127094-2690478

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a transcendence result of Hecke operator T(1) over the ring generated by diamond operators over Q in a non-CM component of the cyclotomic ordinary big p-adic Hecke algebra, and we discuss its conjectural implication of a modulo-p version to the vanishing of the cyclotomic mu-invariant.

引用

页码：1655 / 1681

页数：27

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