DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hwang, Jun-Muk | ko |
dc.contributor.author | Kim, Hosung | ko |
dc.contributor.author | Lee, Yongnam | ko |
dc.contributor.author | Park, Jihun | ko |
dc.date.accessioned | 2013-03-13T01:18:38Z | - |
dc.date.available | 2013-03-13T01:18:38Z | - |
dc.date.created | 2012-09-10 | - |
dc.date.created | 2012-09-10 | - |
dc.date.issued | 2011-10 | - |
dc.identifier.citation | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, v.43, pp.827 - 839 | - |
dc.identifier.issn | 0024-6093 | - |
dc.identifier.uri | http://hdl.handle.net/10203/104090 | - |
dc.description.abstract | Ross and Thomas introduced the concept of slope stability to study K-stability, which has conjectural relation with the existence of constant scalar curvature Kahler metric. This paper presents a study of slope stability of Fano manifolds of dimension n >= 3 with respect to smooth curves. The question turns out to be easy for curves of genus at least 1 and the interest lies in the case of smooth rational curves. Our main result classifies completely the cases when a polarized Fano manifold (X, -K(X)) is not slope stable with respect to a smooth curve. Our result also states that a Fano three-fold X with Picard number 1 is slope stable with respect to every smooth curve unless X is the projective space. | - |
dc.language | English | - |
dc.publisher | OXFORD UNIV PRESS | - |
dc.subject | KAHLER-METRICS | - |
dc.subject | STABILITY | - |
dc.title | Slopes of smooth curves on Fano manifolds | - |
dc.type | Article | - |
dc.identifier.wosid | 000294959100001 | - |
dc.identifier.scopusid | 2-s2.0-80052986723 | - |
dc.type.rims | ART | - |
dc.citation.volume | 43 | - |
dc.citation.beginningpage | 827 | - |
dc.citation.endingpage | 839 | - |
dc.citation.publicationname | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.1112/blms/bdr020 | - |
dc.contributor.localauthor | Lee, Yongnam | - |
dc.contributor.nonIdAuthor | Hwang, Jun-Muk | - |
dc.contributor.nonIdAuthor | Kim, Hosung | - |
dc.contributor.nonIdAuthor | Park, Jihun | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | KAHLER-METRICS | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | KAHLER-METRICS | - |
dc.subject.keywordPlus | STABILITY | - |
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