Stable lattices in modular Galois representations and Hida deformation

被引：0

作者：

Yan, Dong

机构：

来源：

JOURNAL OF NUMBER THEORY | 2019年 / 197卷

关键词：

Galois representation; Hida theory; Bruhat-Tits tree; EXTENSIONS; FAMILIES;

D O I：

10.1016/j.jnt.2018.06.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the variation of the numbers of the isomorphic classes of stable lattices when the weight and the level vary in a Hida deformation by using the Kubota-Leopoldt p-adic L-function. Then in Corollary 1.7, we give a sufficient condition for the numbers of the isomorphic classes of stable lattices in Hida deformation to be infinite. (C) 2018 Elsevier Inc. All rights reserved.

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页码：62 / 88

页数：27

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