hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	VILLANUEVA GUTIÉRREZ, José Ibrahim
dc.date.accessioned	2024-04-04T03:01:13Z
dc.date.available	2024-04-04T03:01:13Z
dc.identifier.uri	https://oskar-bordeaux.fr/handle/20.500.12278/192881
dc.description.abstractEn	Let $\ell$ be a rational prime number and $K$ a number field. We prove that the logarithmic module $X_{d}$ attached to a $\mathbb{Z}_{\ell}^{d}$-extension $K_{d}$ of $K$ is a noetherian $\Lambda_{d}$-module. Moreover, under the Gross-Kuz'min conjecture we prove that it is also torsion. We exploit this fact to deduce local and global information of the logarithmic invariants $\tilde{\mu}$ and $\tilde{\lambda}$ of $\mathbb{Z}_{\ell}$-extensions.
dc.language.iso	en
dc.subject.en	Iwasawa invariants
dc.subject.en	logarithmic class groups
dc.subject.en	logarithmic invariants
dc.title.en	Topological behaviour of logarithmic invariants
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Théorie des nombres [math.NT]
bordeaux.hal.laboratories	Institut de Mathématiques de Bordeaux (IMB) - UMR 5251	*
bordeaux.institution	Université de Bordeaux
bordeaux.institution	Bordeaux INP
bordeaux.institution	CNRS
hal.identifier	hal-02116769
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//hal-02116769v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=VILLANUEVA%20GUTI%C3%89RREZ,%20Jos%C3%A9%20Ibrahim&rft.genre=preprint

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Topological behaviour of logarithmic invariants