Mostrar el registro sencillo del ítem

Prolongement de biextensions et accouplements en cohomologie log plate

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorGILLIBERT, Jean
dc.date.accessioned2024-04-04T02:39:52Z
dc.date.available2024-04-04T02:39:52Z
dc.date.created2009-05-12
dc.date.issued2009-08-08
dc.identifier.issn1073-7928
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191014
dc.description.abstractEnWe study, using the language of log schemes, the problem of extending biextensions of smooth commutative group schemes by the multiplicative group. This was first considered by Grothendieck in SGA 7. We show that this problem admits a solution in the category of sheaves for Kato's log flat topology, in contradistinction to what can be observed using the fppf topology, for which monodromic obstructions were defined by Grothendieck. In particular, in the case of an abelian variety and its dual, it is possible to extend the Weil biextension to the whole Néron model. This allows us to define a pairing on the points which combines the class group pairing defined by Mazur and Tate and Grothendieck's monodromy pairing.
dc.language.isofr
dc.publisherOxford University Press (OUP)
dc.titleProlongement de biextensions et accouplements en cohomologie log plate
dc.typeArticle de revue
dc.identifier.doi10.1093/imrn/rnp059
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv0902.0081
bordeaux.journalInternational Mathematics Research Notices
bordeaux.page3417–3444
bordeaux.volume2009
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue18
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00383368
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00383368v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Prolongement%20de%20biextensions%20et%20accouplements%20en%20cohomologie%20log%20plate&rft.atitle=Prolongement%20de%20biextensions%20et%20accouplements%20en%20cohomologie%20log%20plate&rft.jtitle=International%20Mathematics%20Research%20Notices&rft.date=2009-08-08&rft.volume=2009&rft.issue=18&rft.spage=3417%E2%80%933444&rft.epage=3417%E2%80%933444&rft.eissn=1073-7928&rft.issn=1073-7928&rft.au=GILLIBERT,%20Jean&rft.genre=article


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem