L-2 Extensions with Singular Metrics on Kahler Manifolds

doi:10.1007/s10473-021-0614-2

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	L-2 Extensions with Singular Metrics on Kahler Manifolds
	Zhou, Xiangyu 1,2; Zhu, Langfeng 3
	2021-11-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	41 期号:6 页码:2021-2038
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.
关键词	singular metric optimal L-2 extension theorem strong openness of multiplier ideal sheaf generalized Siu's lemma weakly pseudoconvex Kahler manifold
DOI	10.1007/s10473-021-0614-2
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000714918800014
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59562
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, Inst Math, AMSS, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, 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.