Effective models and extension of torsors over a discrete valuation ring of unequal characteristic
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Dipartimento di Matematica [Roma TRE] | |
| dc.contributor.author | TOSSICI, Dajano | |
| dc.date.accessioned | 2024-04-04T02:18:33Z | |
| dc.date.available | 2024-04-04T02:18:33Z | |
| dc.date.created | 2008-10-19 | |
| dc.date.issued | 2008 | |
| dc.identifier.issn | 1073-7928 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189325 | |
| dc.description.abstractEn | Let R be a discrete valuation ring of unequal characteristic with fraction field K which contains a primitive p^2-th root of unity. Let X be a faithfully flat R-scheme and G be a finite abstract group. Let us consider a G-torsor Y_K\to X_K and let Y be the normalization of X_K in Y. If G=Z/p^n Z, n<3, under some hypothesis on X, we attach some invariants to Y_K \to X_K. If p>2, we determine, through these invariants, when Y\to X has a structure of torsor which extends that of Y_K\to X_K. Moreover we explicitly calculate the effective model (defined by Romagny) of the action of G on Y. | |
| dc.language.iso | en | |
| dc.publisher | Oxford University Press (OUP) | |
| dc.subject | torseurs | |
| dc.subject | schémas en groupes | |
| dc.title.en | Effective models and extension of torsors over a discrete valuation ring of unequal characteristic | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1093/imrn/rnn111 | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 0803.3730 | |
| bordeaux.journal | International Mathematics Research Notices | |
| bordeaux.page | 68 | |
| bordeaux.volume | 2008 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00968918 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00968918v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Mathematics%20Research%20Notices&rft.date=2008&rft.volume=2008&rft.spage=68&rft.epage=68&rft.eissn=1073-7928&rft.issn=1073-7928&rft.au=TOSSICI,%20Dajano&rft.genre=article |
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