Cyclicity of adjoint Selmer groups and fundamental units
type: Item
instance of: scholarly article
title: Cyclicity of adjoint Selmer groups and fundamental units
zbMATH Open document ID: 1472.11124
author: Haruzo Hida
publication date: 2021-07-20T00:00:00Z
Mathematics Subject Classification ID: 11F25
Mathematics Subject Classification ID: 11F33
Mathematics Subject Classification ID: 11F80
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 11G18
zbMATH DE Number: 7373076
zbMATH Keywords: adjoint Selmer group
zbMATH Keywords: cyclicity
zbMATH Keywords: Galois deformation ring
zbMATH Keywords: Hecke algebra
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/aspm/08610351
OpenAlex ID: W3125673089
cites work: Q3739243
cites work: Q3101968
cites work: Q5479417
cites work: Q5625265
cites work: Q4695321
cites work: Q4490714
cites work: Q4693061
cites work: On the eigencurve at classical weight 1 points
cites work: Deformations of induced Galois representations
cites work: Discriminant of Hecke fields and twisted adjoint \(L\)-values for \(GL(2)\)
cites work: The Tamagawa number conjecture of adjoint motives of modular forms
cites work: Q3695339
cites work: Iwasawa modules attached to congruences of cusp forms
cites work: Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
cites work: Q3792754
cites work: Q3972989
cites work: Global quadratic units and Hecke algebras
cites work: Image of \(\varLambda \)-adic Galois representations modulo \(p\)
cites work: Big Galois representations and -adic -functions
cites work: Arithmetic of adjoint \(L\)-values
cites work: LIFTING TORSION GALOIS REPRESENTATIONS
cites work: Local Euler characteristics
cites work: On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
cites work: Maps to weight space in Hida families
cites work: Class fields over real quadratic fields and Hecke operators
cites work: Ring-theoretic properties of certain Hecke algebras
cites work: Modular elliptic curves and Fermat's Last Theorem
DOI: 10.2969/ASPM/08610351
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description: scientific article; zbMATH DE number 7373076