L-2 Extensions with Singular Metrics on Kahler Manifolds

doi:10.1007/s10473-021-0614-2

	L-2 Extensions with Singular Metrics on Kahler Manifolds
	Zhou, Xiangyu 1,2; Zhu, Langfeng 3
刊名	ACTA MATHEMATICA SCIENTIA
	2021-11-01
卷号	41 期号:6 页码:2021-2038
关键词	singular metric optimal L-2 extension theorem strong openness of multiplier ideal sheaf generalized Siu's lemma weakly pseudoconvex Kahler manifold
ISSN号	0252-9602
DOI	10.1007/s10473-021-0614-2
英文摘要	In this paper, we give a survey of our recent results on extension theorems on Kahler manifolds for holomorphic sections or cohomology classes of (pluri)canonical line bundles twisted with holomorphic line bundles equipped with singular metrics, and also discuss their applications and the ideas contained in the proofs.
资助项目	National Natural Science Foundation of China[12022110] ; National Natural Science Foundation of China[11201347] ; National Natural Science Foundation of China[11671306]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000714918800014
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59561]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, Xiangyu
作者单位	1.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China 3.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Xiangyu,Zhu, Langfeng. L-2 Extensions with Singular Metrics on Kahler Manifolds[J]. ACTA MATHEMATICA SCIENTIA,2021,41(6):2021-2038.
APA	Zhou, Xiangyu,&Zhu, Langfeng.(2021).L-2 Extensions with Singular Metrics on Kahler Manifolds.ACTA MATHEMATICA SCIENTIA,41(6),2021-2038.
MLA	Zhou, Xiangyu,et al."L-2 Extensions with Singular Metrics on Kahler Manifolds".ACTA MATHEMATICA SCIENTIA 41.6(2021):2021-2038.