DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Wansu | ko |
dc.date.accessioned | 2019-03-19T01:28:38Z | - |
dc.date.available | 2019-03-19T01:28:38Z | - |
dc.date.created | 2019-03-06 | - |
dc.date.created | 2019-03-06 | - |
dc.date.created | 2019-03-06 | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | INTERNATIONAL MATHEMATICS RESEARCH NOTICES, no.17, pp.8152 - 8232 | - |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.uri | http://hdl.handle.net/10203/251696 | - |
dc.description.abstract | Assume that 19 > 2, and let Omicron(K) be a p-adic discrete valuation ring with residue field admitting a finite p-basis, and let R be a formally smooth formally finite-type Omicron(K)-algebra. (Indeed, we allow slightly more general rings R.) We construct an antiequivalence of categories between the categories of p-divisible groups over R and certain semi-linear algebra objects which generalize (phi,(sic))-modules of height s 1 (or Kisin modules). A similar classification result for p-power order finite flat group schemes is deduced from the classification of p-divisible groups. We also show compatibility of various construction of (Zp-lattice or torsion) Galois representations, including the relative version of Faltings' integral comparison theorem for p-divisible groups. We obtain partial results when p=2. | - |
dc.language | English | - |
dc.publisher | OXFORD UNIV PRESS | - |
dc.title | The Relative Breuil-Kisin Classification of p-Divisible Groups and Finite Flat Group Schemes | - |
dc.type | Article | - |
dc.identifier.wosid | 000363065100019 | - |
dc.identifier.scopusid | 2-s2.0-84943567692 | - |
dc.type.rims | ART | - |
dc.citation.issue | 17 | - |
dc.citation.beginningpage | 8152 | - |
dc.citation.endingpage | 8232 | - |
dc.citation.publicationname | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.identifier.doi | 10.1093/imrn/rnu193 | - |
dc.contributor.localauthor | Kim, Wansu | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | SEMI-STABLE REPRESENTATIONS | - |
dc.subject.keywordPlus | REGULAR LOCAL-RINGS | - |
dc.subject.keywordPlus | CRYSTALLINE REPRESENTATIONS | - |
dc.subject.keywordPlus | VALUATION RINGS | - |
dc.subject.keywordPlus | F-CRYSTALS | - |
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