DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwak, Sijong | ko |
dc.contributor.author | Park, Jinhyung | ko |
dc.date.accessioned | 2016-09-07T01:08:26Z | - |
dc.date.available | 2016-09-07T01:08:26Z | - |
dc.date.created | 2016-08-08 | - |
dc.date.created | 2016-08-08 | - |
dc.date.created | 2016-08-08 | - |
dc.date.issued | 2016-03 | - |
dc.identifier.citation | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v.160, no.2, pp.257 - 277 | - |
dc.identifier.issn | 0305-0041 | - |
dc.identifier.uri | http://hdl.handle.net/10203/212500 | - |
dc.description.abstract | The aim of this paper is to study geometric properties of non-degenerate smooth projective varieties of small degree from a birational point of view. First, using the positivity property of double point divisors and the adjunction mappings, we classify smooth projective varieties in P-r of degree d <= r + 2, and consequently, we show that such varieties are simply connected and rationally connected except in a few cases. This is a generalisation of P. Ionescu's work. We also show the finite generation of Cox rings of smooth projective varieties in P-r of degree d <= r with counterexamples for d = r + 1, r + 2. On the other hand, we prove that a non-uniruled smooth projective variety in P-r of dimension n and degree d <= n(r - n) + 2 is Calabi-Yau, and give an example that shows this bound is also sharp | - |
dc.language | English | - |
dc.publisher | CAMBRIDGE UNIV PRESS | - |
dc.title | Geometric properties of projective manifolds of small degree | - |
dc.type | Article | - |
dc.identifier.wosid | 000379502100004 | - |
dc.identifier.scopusid | 2-s2.0-84958119924 | - |
dc.type.rims | ART | - |
dc.citation.volume | 160 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 257 | - |
dc.citation.endingpage | 277 | - |
dc.citation.publicationname | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | - |
dc.identifier.doi | 10.1017/S0305004115000663 | - |
dc.contributor.localauthor | Kwak, Sijong | - |
dc.contributor.localauthor | Park, Jinhyung | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | MORI DREAM SPACES | - |
dc.subject.keywordPlus | VECTOR-BUNDLES | - |
dc.subject.keywordPlus | MINIMAL MODELS | - |
dc.subject.keywordPlus | GREATER-THAN | - |
dc.subject.keywordPlus | FANO 3-FOLDS | - |
dc.subject.keywordPlus | VARIETIES | - |
dc.subject.keywordPlus | SURFACES | - |
dc.subject.keywordPlus | CLASSIFICATION | - |
dc.subject.keywordPlus | CODIMENSION | - |
dc.subject.keywordPlus | CONJECTURE | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.