On the tamagawa number conjecture for hecke characters

Francesc Bars

doi:https://doi.org/10.1002/mana.200810051

On the tamagawa number conjecture for hecke characters

Francesc Bars

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

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 φa φ̄b 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.

Original language	English
Pages (from-to)	608-628
Journal	Mathematische Nachrichten
Volume	284
Issue number	5-6
DOIs	https://doi.org/10.1002/mana.200810051
Publication status	Published - 1 Apr 2011

Keywords

Hecke characters
Iwasawa theory of imaginary quadratic fields
Regulators
Tamagawa number conjecture

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https://doi.org/10.1002/mana.200810051

https://ddd.uab.cat/record/240650

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title = "On the tamagawa number conjecture for hecke characters",

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 φa {\=φ}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. {\textcopyright} 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.",

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AB - 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 φa φ̄b 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.

KW - Hecke characters

KW - Iwasawa theory of imaginary quadratic fields

KW - Regulators

KW - Tamagawa number conjecture

U2 - https://doi.org/10.1002/mana.200810051

DO - https://doi.org/10.1002/mana.200810051

M3 - Article

VL - 284

SP - 608

EP - 628

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

SN - 0025-584X

IS - 5-6

ER -

On the tamagawa number conjecture for hecke characters

Abstract

Keywords

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