BourbakiV1, Main, Exploration, bibRecord, 001287

Control Theorem for Greenberg's Selmer Groups of Galois Deformations

Identifieur interne : 001287 ( Main/Exploration ); précédent : 001286; suivant : 001288

Control Theorem for Greenberg's Selmer Groups of Galois Deformations

Auteurs : Tadashi Ochiai [Japon]

Source :

Journal of Number Theory [ 0022-314X ] ; 2001.

RBID : ISTEX:3E60EBB7DDF70DF755A1E07A50816EC20C325A7C

English descriptors

KwdEn :
- Coinvariant, Coinvariant quotient, Cokernel, Commutative, Commutative diagram, Control theorem, Cusp form, Cyclotomic, Deformation, Dirichlet, Dirichlet character, Eigenvalue, Elliptic, Elliptic curve, Filtration, Finite group, Finite groups, Frob, Frobenius, Galois, Galois deformation, Galois deformations, Galois representation, Galois representations, Hida, Hida deformation, Hida deformations, Isomorphic, Isomorphism, Iwasawa, Iwasawa theory, Kernel, Mazur, Modular form, Modular forms, Module, Modulo, Newform, Number field, Ochiai, Open subgroup, Ordinary representation, Other hand, Quotient, Resp, Selmer, Selmer group, Selmer groups, Stable lattice, Strict selmer group, Subgroup, Submodule, Symmetric power, Tadashi, Tadashi ochiai, Tame conductor, Torsion, Torsion part, Unramified.
Teeft :
- Coinvariant, Coinvariant quotient, Cokernel, Commutative, Commutative diagram, Control theorem, Cusp form, Cyclotomic, Deformation, Dirichlet, Dirichlet character, Eigenvalue, Elliptic, Elliptic curve, Filtration, Finite group, Finite groups, Frob, Frobenius, Galois, Galois deformation, Galois deformations, Galois representation, Galois representations, Hida, Hida deformation, Hida deformations, Isomorphic, Isomorphism, Iwasawa, Iwasawa theory, Kernel, Mazur, Modular form, Modular forms, Module, Modulo, Newform, Number field, Ochiai, Open subgroup, Ordinary representation, Other hand, Quotient, Resp, Selmer, Selmer group, Selmer groups, Stable lattice, Strict selmer group, Subgroup, Submodule, Symmetric power, Tadashi, Tadashi ochiai, Tame conductor, Torsion, Torsion part, Unramified.

Abstract

Abstract: We give sufficient conditions for the Selmer group of a p-adic deformation of a motive over a number field to be controlled. Then we apply this result to the Selmer groups of various Galois representations. For example, we treat the cyclotomic deformations and the Hida deformations of the representations associated to modular forms.

Url:

https://api.istex.fr/document/3E60EBB7DDF70DF755A1E07A50816EC20C325A7C/fulltext/pdf

DOI: 10.1006/jnth.2000.2611

Affiliations:

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Le document en format XML

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Control Theorem for Greenberg's Selmer Groups of Galois Deformations

Control Theorem for Greenberg's Selmer Groups of Galois Deformations

Source :

English descriptors

Abstract

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