{"title":"On the existence of the conical Kähler–Einstein metrics on Fano manifolds","authors":"Jiawei Liu","doi":"10.4310/cag.2023.v31.n8.a7","DOIUrl":null,"url":null,"abstract":"In this paper, by using smooth approximation, we give a new proof of Donaldson’s existence conjecture that there exist conical Kähler–Einstein metrics with positive Ricci curvatures on Fano manifolds.","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"7 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Analysis and Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/cag.2023.v31.n8.a7","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, by using smooth approximation, we give a new proof of Donaldson’s existence conjecture that there exist conical Kähler–Einstein metrics with positive Ricci curvatures on Fano manifolds.
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