Degeneration of Kahler-Einstein manifolds I: The normal crossing case

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dc.contributor.authorRuan, Wei Dongko
dc.date.accessioned2013-03-04T08:47:43Z-
dc.date.available2013-03-04T08:47:43Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2004-04-
dc.identifier.citationCOMMUNICATIONS IN CONTEMPORARY MATHEMATICS, v.6, no.2, pp.301 - 313-
dc.identifier.issn0219-1997-
dc.identifier.urihttp://hdl.handle.net/10203/82221-
dc.description.abstractIn this paper we prove that the Kahler-Einstein metrics for a degeneration family of Kahler manifolds with ample canonical bundles converge in the sense of Cheeger-Gromov to the complete Kahler-Einstein metric on the smooth part of the central fiber when the central fiber has only normal crossing singularities inside smooth total space. We also prove the incompleteness of the Weil-Peterson metric in this case.-
dc.languageEnglish-
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD-
dc.subjectMETRICS-
dc.subjectCURVATURE-
dc.titleDegeneration of Kahler-Einstein manifolds I: The normal crossing case-
dc.typeArticle-
dc.identifier.wosid000221306500005-
dc.identifier.scopusid2-s2.0-13844265754-
dc.type.rimsART-
dc.citation.volume6-
dc.citation.issue2-
dc.citation.beginningpage301-
dc.citation.endingpage313-
dc.citation.publicationnameCOMMUNICATIONS IN CONTEMPORARY MATHEMATICS-
dc.identifier.doi10.1142/S0219199704001331-
dc.contributor.localauthorRuan, Wei Dong-
dc.type.journalArticleArticle-
dc.subject.keywordAuthordegeneration-
dc.subject.keywordAuthorKahler-Einstein metrics-
dc.subject.keywordAuthorCheeger-Gromov convergence-
dc.subject.keywordAuthorWeil-Peterson metric.-
dc.subject.keywordPlusMETRICS-
dc.subject.keywordPlusCURVATURE-
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