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Propagation de la 2-birationalité

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBOURBON, Claire
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJAULENT, Jean-François
dc.date.accessioned2024-04-04T02:25:58Z
dc.date.available2024-04-04T02:25:58Z
dc.date.created2011-12-08
dc.date.issued2013
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189918
dc.description.abstractEnLet L/K be a 2-birational CM-extension of a totally real 2-rational number field. We characterize in terms of tame ramification totally real 2-extensions K′/K such that the compositum L′= LK′ is still 2-birational. In case the 2-extensions K′/K is linearly disjoint from the cyclotomic Z2-extension Kc/K, we prove that K′/K is at most quadratic. In the other hand we construct infinite towers of such 2-extensions.
dc.language.isofr
dc.publisherInstytut Matematyczny PAN
dc.subject.enclass field theory
dc.subject.en2-rational fields
dc.subject.en2-birational fields
dc.titlePropagation de la 2-birationalité
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1112.3195
bordeaux.journalActa Arithmetica
bordeaux.page285--301
bordeaux.volume160
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00649471
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00649471v1
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