Slopes of smooth curves on Fano manifolds

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dc.contributor.authorHwang, Jun-Mukko
dc.contributor.authorKim, Hosungko
dc.contributor.authorLee, Yongnamko
dc.contributor.authorPark, Jihunko
dc.date.accessioned2013-03-13T01:18:38Z-
dc.date.available2013-03-13T01:18:38Z-
dc.date.created2012-09-10-
dc.date.created2012-09-10-
dc.date.issued2011-10-
dc.identifier.citationBULLETIN OF THE LONDON MATHEMATICAL SOCIETY, v.43, pp.827 - 839-
dc.identifier.issn0024-6093-
dc.identifier.urihttp://hdl.handle.net/10203/104090-
dc.description.abstractRoss 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.languageEnglish-
dc.publisherOXFORD UNIV PRESS-
dc.subjectKAHLER-METRICS-
dc.subjectSTABILITY-
dc.titleSlopes of smooth curves on Fano manifolds-
dc.typeArticle-
dc.identifier.wosid000294959100001-
dc.identifier.scopusid2-s2.0-80052986723-
dc.type.rimsART-
dc.citation.volume43-
dc.citation.beginningpage827-
dc.citation.endingpage839-
dc.citation.publicationnameBULLETIN OF THE LONDON MATHEMATICAL SOCIETY-
dc.identifier.doi10.1112/blms/bdr020-
dc.contributor.localauthorLee, Yongnam-
dc.contributor.nonIdAuthorHwang, Jun-Muk-
dc.contributor.nonIdAuthorKim, Hosung-
dc.contributor.nonIdAuthorPark, Jihun-
dc.type.journalArticleArticle-
dc.subject.keywordPlusKAHLER-METRICS-
dc.subject.keywordPlusSTABILITY-
dc.subject.keywordPlusKAHLER-METRICS-
dc.subject.keywordPlusSTABILITY-
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