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Annulateurs de Stickelberger des groupes de classes logarithmiques
Language
fr
Article de revue
This item was published in
Acta Arithmetica. 2021, vol. 203, p. 241--253
Instytut Matematyczny PAN
Abstract
Étant donnés un nombre premier impair ℓ et un corps de nombres abélien F contenant les racines ℓ-ièmes de l'unité, nous montrons que l'idéal de Stickelberger annule la composante imaginaire du ℓ-goupe des classes logarithmiques ...Read more >
English Abstract
For any odd prime number ℓ and any abelian number field F containing the ℓ-th roots of unity, we show that the Stickelberger ideal annihilates the imaginary component of the ℓ-group of logarithmic classes and that its ...Read more >
English Keywords
Stickelberger annihilators
logarithmic classes
Bertrandias-Payan module
wild étale kernels