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Galois module structure and Jacobians of Fermat curves

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCASSOU-NOGUÈS, Philippe
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorGILLIBERT, Jean
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJEHANNE, Arnaud
dc.date.accessioned2024-04-04T03:21:21Z
dc.date.available2024-04-04T03:21:21Z
dc.date.created2014-04-16
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194652
dc.description.abstractEnThe class-invariant homomorphism allows one to measure the Galois module structure of extensions obtained by dividing points on abelian varieties. In this paper, we consider the case when the abelian variety is the Jacobian of a Fermat curve. We give examples of torsion points whose associated Galois structure is trivial, as well as points of infinite order whose associated Galois structure is non-trivial.
dc.language.isoen
dc.title.enGalois module structure and Jacobians of Fermat curves
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1404.4248
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01027572
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01027572v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CASSOU-NOGU%C3%88S,%20Philippe&GILLIBERT,%20Jean&JEHANNE,%20Arnaud&rft.genre=preprint


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