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- W1970977713 abstract "Dans cet article nous calculons les nombres de Tamagawa locaux pour les motifs Q(m) sur un corps abélien. Nos résultats entraı̂nent la compatibilité de la conjecture de Bloch et Kato (usuelle et équivariante) avec l'équation fonctionnelle. Comme le cas m<0 de la conjecture usuelle est équivalent à la version cohomologique de la conjecture de Lichtenbaum, on en déduit la validité de la conjecture de Bloch et Kato pour les corps abéliens. In this paper we compute the local Tamagawa numbers for the motives Q(m) over an abelian number field. Our results imply the compatibility of Bloch–Kato's conjecture (usual as well as equivariant) with the functional equation. Il follows that the usual conjecture holds for all abelian fields, since the case m<0 is known to be equivalent to the cohomological version of the Lichtenbaum conjecture." @default.
- W1970977713 created "2016-06-24" @default.
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- W1970977713 date "2002-09-01" @default.
- W1970977713 modified "2023-09-27" @default.
- W1970977713 title "Les nombres de Tamagawa locaux et la conjecture de Bloch et Kato pour les motifs sur un corps abélien" @default.
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- W1970977713 doi "https://doi.org/10.1016/s0012-9593(02)01104-7" @default.
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