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hal.structure.identifierÉquipe Théorie des Nombres
dc.contributor.authorLIU, Qing
hal.structure.identifierÉquipe Théorie des Nombres
dc.contributor.authorTONG, Jilong
dc.date.accessioned2024-04-04T02:20:39Z
dc.date.available2024-04-04T02:20:39Z
dc.date.created2013-12-17
dc.date.issued2016-10-01
dc.identifier.issn0002-9947
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189511
dc.description.abstractEnLet S be a Dedekind scheme with field of functions K. We show that if X_K is a smooth connected proper curve of positive genus over K, then it admits a Néron model over S, i.e., a smooth separated model of finite type satisfying the usual Néron mapping property. It is given by the smooth locus of the minimal proper regular model of X_K over S, as in the case of elliptic curves. When S is excellent, a similar result holds for connected smooth affine curves different from the affine line, with locally finite type Néron models.
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.rights.urihttp://hal.archives-ouvertes.fr/licences/copyright/
dc.subject.engood reduction
dc.subject.enNéron model
dc.subject.encurve
dc.title.enNéron models of algebraic curves
dc.typeArticle de revue
dc.identifier.doi10.1090/tran/6642
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
bordeaux.journalTransactions of the American Mathematical Society
bordeaux.page7019 - 7043
bordeaux.volume368
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue10
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00917694
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00917694v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Transactions%20of%20the%20American%20Mathematical%20Society&rft.date=2016-10-01&rft.volume=368&rft.issue=10&rft.spage=7019%20-%207043&rft.epage=7019%20-%207043&rft.eissn=0002-9947&rft.issn=0002-9947&rft.au=LIU,%20Qing&TONG,%20Jilong&rft.genre=article


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