Sur la capitulation pour le module de Bertrandias-Payan

Abstract : We compute the capitulation kernel for the module of Bertrandias-Payan in an arbitrary $\ell$-extension of number fields which satisfies the Leopoldt conjecture. As a consequence we relate the existence of extensions with trivial such module to the classical problem of locally cyclotomic towers.
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https://hal.archives-ouvertes.fr/hal-01214814
Contributor : Jean-François Jaulent <>
Submitted on : Wednesday, April 27, 2016 - 8:45:13 AM
Last modification on : Thursday, January 11, 2018 - 6:21:22 AM
Document(s) archivé(s) le : Thursday, July 28, 2016 - 10:32:43 AM

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  • HAL Id : hal-01214814, version 4
  • ARXIV : 1510.03569

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Jean-François Jaulent. Sur la capitulation pour le module de Bertrandias-Payan. 2016. ⟨hal-01214814v4⟩

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