On the anticyclotomic main conjecture for CM fields

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On the anticyclotomic main conjecture for CM fields

Auteurs : H. Hida [États-Unis] ; J. Tilouine [France]

Source :

• Inventiones mathematicae [ 0020-9910 ] ; 1994-12-01.

RBID : ISTEX:8AA2FE19C1FFB455F5543B7ADB3F6B7BA9A94B79

English descriptors

• KwdEn :
  • Abelian, Acts trivially, Adic topology, Adjoint action, Algebra, Algebra structure, Algebraic, Analytic mazur module, Anticyclotomic, Arta, Artin, Artin reciprocity, Artin symbol, Automorphic, Automorphic forms, Auxiliary conductor, Base change, Berlin heidelberg, Canonical, Canonical isomorphism, Characteristic power series, Closure, Cohomology, Cohomology group, Cokernel, Compatible system, Complete noetherian, Complex conjugation, Congruence module, Conjecture, Conjugation, Continuous action, Continuous character, Continuous representation, Cusp forms, Decomposition group, Deformation problem, Direct factor, Direct limits, Divisibility, Divisibility result, Duality, Euler, Euler factor, Exact sequence, Exceptional case, Finite, Finite extension, Finite group, Finite index, Finite order character, Finite type, Finitely, Flat cokernel, Fourier, Fourier expansion, Fraction field, Fractional ideals, Galois, Galois group, Galois representation, Galois representations, Generic splitting, Group algebra, Group homomorphism, Hecke, Hecke algebra, Hecke character, Hecke characters, Hida, Hilbert, Hilbert cusp forms, Homomorphism, Inertia, Inertia group, Inertia subgroup, Infinite order, Injective, Integral closure, Interpolation formula, Inverse limit, Irreducible, Isomorphic, Isomorphism, Iwasawa, Iwasawa module, Iwasawa theory, Largest quotient, Leopoldt conjecture, Level group, Local component, Lwasawa, Lwasawa theory, Main conjecture, Math, Matrix, Maximal, Maximal abelian, Maximal abelian extension, Maximal abelian subextension, Mazur, Mazur module, Module, Modulo, Noetherian, Notation, Number field, Ordinarity, Ordinarity conditions, Ordinarity data, Ordinary deformation problem, Ordinary galois representation, Ordinary hecke algebra, Ordr, Other hand, Other words, Pontryagin duality, Power series, Prime factors, Prime ideals, Proj, Quotient, Ramified, Real field, Real fields, Residue field, Resp, Right hand side, Ring homomorphism, Rood, Second limit formula, Sect, Special case, Subextension, Subfield, Subgroup, Successive quotients, Surjective, Surjective homomorphism, Tensor product, Theorem, Theta, Theta series, Tilouine, Tilouine proof, Topological, Topological space, Topologically, Topology, Torsion, Torsion subgroup, Trivial zeroes, Uniformizing parameter, Unique homomorphism, Universal property, Unramified, Valuation ring.
• Teeft :
  • Abelian, Acts trivially, Adic topology, Adjoint action, Algebra, Algebra structure, Algebraic, Analytic mazur module, Anticyclotomic, Arta, Artin, Artin reciprocity, Artin symbol, Automorphic, Automorphic forms, Auxiliary conductor, Base change, Berlin heidelberg, Canonical, Canonical isomorphism, Characteristic power series, Closure, Cohomology, Cohomology group, Cokernel, Compatible system, Complete noetherian, Complex conjugation, Congruence module, Conjecture, Conjugation, Continuous action, Continuous character, Continuous representation, Cusp forms, Decomposition group, Deformation problem, Direct factor, Direct limits, Divisibility, Divisibility result, Duality, Euler, Euler factor, Exact sequence, Exceptional case, Finite, Finite extension, Finite group, Finite index, Finite order character, Finite type, Finitely, Flat cokernel, Fourier, Fourier expansion, Fraction field, Fractional ideals, Galois, Galois group, Galois representation, Galois representations, Generic splitting, Group algebra, Group homomorphism, Hecke, Hecke algebra, Hecke character, Hecke characters, Hida, Hilbert, Hilbert cusp forms, Homomorphism, Inertia, Inertia group, Inertia subgroup, Infinite order, Injective, Integral closure, Interpolation formula, Inverse limit, Irreducible, Isomorphic, Isomorphism, Iwasawa, Iwasawa module, Iwasawa theory, Largest quotient, Leopoldt conjecture, Level group, Local component, Lwasawa, Lwasawa theory, Main conjecture, Math, Matrix, Maximal, Maximal abelian, Maximal abelian extension, Maximal abelian subextension, Mazur, Mazur module, Module, Modulo, Noetherian, Notation, Number field, Ordinarity, Ordinarity conditions, Ordinarity data, Ordinary deformation problem, Ordinary galois representation, Ordinary hecke algebra, Ordr, Other hand, Other words, Pontryagin duality, Power series, Prime factors, Prime ideals, Proj, Quotient, Ramified, Real field, Real fields, Residue field, Resp, Right hand side, Ring homomorphism, Rood, Second limit formula, Sect, Special case, Subextension, Subfield, Subgroup, Successive quotients, Surjective, Surjective homomorphism, Tensor product, Theorem, Theta, Theta series, Tilouine, Tilouine proof, Topological, Topological space, Topologically, Topology, Torsion, Torsion subgroup, Trivial zeroes, Uniformizing parameter, Unique homomorphism, Universal property, Unramified, Valuation ring.

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• https://api.istex.fr/document/8AA2FE19C1FFB455F5543B7ADB3F6B7BA9A94B79/fulltext/pdf

DOI: 10.1007/BF01232236

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