Models of $\mu_{p^2,K}$ over a discrete valuation ring
| 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 | 2024-04-04T02:18:32Z | |
| dc.date.available | 2024-04-04T02:18:32Z | |
| dc.date.created | 2010-01-09 | |
| dc.date.issued | 2010 | |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189324 | |
| dc.description.abstractEn | Let R be a discrete valuation ring with residue field of characteristic p>0. Let K be its fraction field. We prove that any finite and flat R-group scheme, isomorphic to \mu_{p^2,K} on the generic fiber, is the kernel in a short exact sequence which generically coincides with the Kummer sequence. We will explicitly describe and classify such models. In the appendix X. Caruso shows how to classify models of \mu_{p^2,K}, in the case of unequal characteristic, using the Breuil-Kisin theory. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject | schémas en groupes | |
| dc.title.en | Models of $\mu_{p^2,K}$ over a discrete valuation ring | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1001.1416 | |
| bordeaux.journal | Journal of Algebra | |
| bordeaux.page | 1908-1957 | |
| bordeaux.volume | 323 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 7 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00968922 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00968922v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Algebra&rft.date=2010&rft.volume=323&rft.issue=7&rft.spage=1908-1957&rft.epage=1908-1957&rft.eissn=0021-8693&rft.issn=0021-8693&rft.au=TOSSICI,%20Dajano&rft.genre=article |
Files in this item
| Files | Size | Format | View |
|---|---|---|---|
|
There are no files associated with this item. |
|||