Néron models of algebraic curves
| hal.structure.identifier | Équipe Théorie des Nombres | |
| dc.contributor.author | LIU, Qing | |
| hal.structure.identifier | Équipe Théorie des Nombres | |
| dc.contributor.author | TONG, Jilong | |
| dc.date.accessioned | 2024-04-04T02:20:39Z | |
| dc.date.available | 2024-04-04T02:20:39Z | |
| dc.date.created | 2013-12-17 | |
| dc.date.issued | 2016-10-01 | |
| dc.identifier.issn | 0002-9947 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189511 | |
| dc.description.abstractEn | Let 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.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.rights.uri | http://hal.archives-ouvertes.fr/licences/copyright/ | |
| dc.subject.en | good reduction | |
| dc.subject.en | Néron model | |
| dc.subject.en | curve | |
| dc.title.en | Néron models of algebraic curves | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1090/tran/6642 | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| bordeaux.journal | Transactions of the American Mathematical Society | |
| bordeaux.page | 7019 - 7043 | |
| bordeaux.volume | 368 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 10 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00917694 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00917694v1 | |
| bordeaux.COinS | ctx_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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