Show simple item record

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorGILLIBERT, Jean
hal.structure.identifierSchool of Mathematical Sciences [Nottingham]
dc.contributor.authorWUTHRICH, Christian
dc.date.accessioned2024-04-04T02:18:40Z
dc.date.available2024-04-04T02:18:40Z
dc.date.created2011-10-19
dc.date.issued2013
dc.identifier.issn0024-6115
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189336
dc.description.abstractEnWe give explicit formulae for the logarithmic class group pairing on an elliptic curve defined over a number field. Then we relate it to the descent relative to a suitable cyclic isogeny. This allows us to connect the resulting Selmer group with the logarithmic class group of the base. These constructions are explicit and suitable for computer experimentation. From a conceptual point of view, the questions that arise here are analogues of "visibility" questions in the sense of Cremona and Mazur.
dc.language.isoen
dc.publisherLondon Mathematical Society
dc.title.enThe class group pairing and $p$-descent on elliptic curves
dc.typeArticle de revue
dc.identifier.doi10.1112/plms/pds044
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1110.4232
bordeaux.journalProceedings of the London Mathematical Society
bordeaux.page345-374
bordeaux.volume106
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00966129
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00966129v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Proceedings%20of%20the%20London%20Mathematical%20Society&rft.date=2013&rft.volume=106&rft.issue=2&rft.spage=345-374&rft.epage=345-374&rft.eissn=0024-6115&rft.issn=0024-6115&rft.au=GILLIBERT,%20Jean&WUTHRICH,%20Christian&rft.genre=article


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record