The Kahler-Ricci Flow With Log Canonical Singularities

doi:10.1093/imrn/rnac093

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	The Kahler-Ricci Flow With Log Canonical Singularities
	Chau, Albert 1; Ge, Huabin 2; Li, Ka-Fai 3; Shen, Liangming 4,5
	2022-05-05
发表期刊	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
ISSN	1073-7928
页码	63
摘要	We establish the existence of the Kahler-Ricci flow on projective varieties with log canonical singularities. This generalizes some of the existence results of Song-Tian [] in case of projective varieties with klt singularities. We also prove that the normalized Kahler-Ricci flow will converge to the Kahler-Einstein metric with negative Ricci curvature on semi-log canonical models in the sense of currents. Finally, we also construct Kahler-Ricci flow solutions performing divisorial contractions and flips with log canonical singularities.
DOI	10.1093/imrn/rnac093
收录类别	SCI
语种	英语
资助项目	Natural Sciences and Engineering Research Council of Canada ; National Natural Science Foundation of China ; [327637-06] ; [11871094] ; [11901553]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000891532900001
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60581
专题	中国科学院数学与系统科学研究院
通讯作者	Shen, Liangming
作者单位	1.Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada 2.Renmin Univ China, Sch Math, Beijing 100872, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China 4.Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China 5.Minist Educ, Key Lab Math Informat Behav Semant, Beijing 100191, Peoples R China
推荐引用方式 GB/T 7714	Chau, Albert,Ge, Huabin,Li, Ka-Fai,et al. The Kahler-Ricci Flow With Log Canonical Singularities[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2022:63.
APA	Chau, Albert,Ge, Huabin,Li, Ka-Fai,&Shen, Liangming.(2022).The Kahler-Ricci Flow With Log Canonical Singularities.INTERNATIONAL MATHEMATICS RESEARCH NOTICES,63.
MLA	Chau, Albert,et al."The Kahler-Ricci Flow With Log Canonical Singularities".INTERNATIONAL MATHEMATICS RESEARCH NOTICES (2022):63.