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.

引用

页码：62 / 88

页数：27

共 50 条

[21] On the image of Λ-adic galois representations
Fischman, A
ANNALES DE L INSTITUT FOURIER, 2002, 52 (02) : 351 - +
[22] Galois representations in arithmetic geometry
Lombardo, Davide
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2025, 18 (01): : 273 - 291
[23] Moduli-friendly Eisenstein series over the p-adics and the computation of modular Galois representations
Nicolas Mascot
Research in Number Theory, 2022, 8
[24] Moduli-friendly Eisenstein series over the p-adics and the computation of modular Galois representations
Mascot, Nicolas
RESEARCH IN NUMBER THEORY, 2022, 8 (03)
[25] Supersingular Hecke modules as Galois representations
Grosse-Kloenne, Elmar
ALGEBRA & NUMBER THEORY, 2020, 14 (01) : 67 - 118
[26] ON THE EXISTENCE OF LARGE DEGREE GALOIS REPRESENTATIONS FOR FIELDS OF SMALL DISCRIMINANT
Rouse, Jeremy
Thorne, Frank
PACIFIC JOURNAL OF MATHEMATICS, 2014, 271 (01) : 243 - 256
[27] Induced orthogonal representations of Galois groups
Michailov, Ivo M.
JOURNAL OF ALGEBRA, 2009, 322 (10) : 3713 - 3732
[28] Galois representations over pseudorigid spaces
Bellovin, Rebecca
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2023, 35 (01): : 283 - 334
[29] Representations of Some Groups and Galois Stability
Malinin, Dmitry
Sarmin, Nor Haniza
Ali, Nor Muhainiah Mohd
Yahya, Zainab
Adnan, Noor Asma' Adny Mohd
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (02) : 827 - 840
[30] Reductions of Galois representations and the theta operator
Ghate, Eknath
Kumar, Arvind
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2022, 18 (10) : 2217 - 2240

← 1 2 3 4 5 →