BourbakiV1, Main, Exploration, bibRecord, 000275

On the tamagawa number conjecture for hecke characters

Identifieur interne : 000275 ( Main/Exploration ); précédent : 000274; suivant : 000276

On the tamagawa number conjecture for hecke characters

Auteurs : Francesc Bars [Canada, Espagne]

Source :

Mathematische Nachrichten [ 0025-584X ] ; 2011-04.

RBID : ISTEX:48B18A2377775CF89D259F34183CE9610BC204E1

English descriptors

KwdEn :
- Beilinson, Beilinson conjecture, Beilinson regulator, Class number, Cohomology, Complex multiplication, Conjecture, Cyclotomic, Cyclotomic character, Cyclotomic representation, Decomposition group, Deninger, Detok, Detop, Detzp, Divisor, Duke math, Eisenstein, Eisenstein classes, Eld, Elliptic, Elliptic curve, Elliptic curves, Elliptic units, Euler, Euler factors, Euler system, Functional equation, Galois, Galois cohomology, Galois group, Gmbh, Good compatibilities, Good reduction, Good representation, Hecke, Hecke character, Hecke characters, Homop, Injective, Isomorphic, Isomorphism, Iwasawa, Iwasawa theory, Kato, Kgaa, Module, Nachr, Nite, Previous theorem, Projector, Regulator, Special value, Special values, Submodule, Tamagawa, Tamagawa number conjecture, Tate module, Torsion, Torsion point, Torsion points, Verlag, Verlag gmbh, Weil pairing, Weinheim, Weinheim math.
Teeft :
- Beilinson, Beilinson conjecture, Beilinson regulator, Class number, Cohomology, Complex multiplication, Conjecture, Cyclotomic, Cyclotomic character, Cyclotomic representation, Decomposition group, Deninger, Detok, Detop, Detzp, Divisor, Duke math, Eisenstein, Eisenstein classes, Eld, Elliptic, Elliptic curve, Elliptic curves, Elliptic units, Euler, Euler factors, Euler system, Functional equation, Galois, Galois cohomology, Galois group, Gmbh, Good compatibilities, Good reduction, Good representation, Hecke, Hecke character, Hecke characters, Homop, Injective, Isomorphic, Isomorphism, Iwasawa, Iwasawa theory, Kato, Kgaa, Module, Nachr, Nite, Previous theorem, Projector, Regulator, Special value, Special values, Submodule, Tamagawa, Tamagawa number conjecture, Tate module, Torsion, Torsion point, Torsion points, Verlag, Verlag gmbh, Weil pairing, Weinheim, Weinheim math.

Abstract

In this paper, we prove the weak p‐part of the Tamagawa number conjecture in all non‐critical cases for the motives associated to Hecke characters of the form $\varphi ^a\overline{\varphi }^b$ where φ is the Hecke character of a CM elliptic curve E defined over an imaginary quadratic field K, under certain restrictions which originate mainly from the Iwasawa theory of imaginary quadratic fields. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

Url:

https://api.istex.fr/document/48B18A2377775CF89D259F34183CE9610BC204E1/fulltext/pdf

DOI: 10.1002/mana.200810051

Affiliations:

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Le document en format XML

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<front><div type="abstract" xml:lang="en">In this paper, we prove the weak p‐part of the Tamagawa number conjecture in all non‐critical cases for the motives associated to Hecke characters of the form $\varphi ^a\overline{\varphi }^b$ where φ is the Hecke character of a CM elliptic curve E defined over an imaginary quadratic field K, under certain restrictions which originate mainly from the Iwasawa theory of imaginary quadratic fields. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim</div>
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On the tamagawa number conjecture for hecke characters

On the tamagawa number conjecture for hecke characters

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Abstract

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