{"title":"Orbifold regularity of weak Kähler-Einstein\n metrics","authors":"Chi Li, G. Tian","doi":"10.1090/conm/735/14825","DOIUrl":null,"url":null,"abstract":"In this note, we prove that any non-collapsing and compact Gromov-Hausdorff limit of Kahler-Einstein manifolds is either smooth or is orbifold outside a subvariety of complex codimension at least 3.","PeriodicalId":139005,"journal":{"name":"Advances in Complex Geometry","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Complex Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/conm/735/14825","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
In this note, we prove that any non-collapsing and compact Gromov-Hausdorff limit of Kahler-Einstein manifolds is either smooth or is orbifold outside a subvariety of complex codimension at least 3.
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