EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES

doi:10.1090/jag/766

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	EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES
	Zhou, Xiangyu 1,2,3; Zhu, Langfeng 4
	2022
发表期刊	JOURNAL OF ALGEBRAIC GEOMETRY
ISSN	1056-3911
卷号	31 期号:1 页码:137-179
摘要	In this paper, we obtain two extension theorems for cohomology classes and holomorphic sections defined on analytic subvarieties, which are defined as the supports of the quotient sheaves of multiplier ideal sheaves of quasi-plurisubharmonic functions with arbitrary singularities. The first result gives a positive answer to a question posed by Cao-Demailly-Matsumura and unifies a few well-known injectivity theorems. The second result generalizes and optimizes a general L-2 extension theorem obtained by Demailly.
DOI	10.1090/jag/766
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000748872100007
出版者	UNIV PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59936
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.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 2.Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Xiangyu,Zhu, Langfeng. EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES[J]. JOURNAL OF ALGEBRAIC GEOMETRY,2022,31(1):137-179.
APA	Zhou, Xiangyu,&Zhu, Langfeng.(2022).EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES.JOURNAL OF ALGEBRAIC GEOMETRY,31(1),137-179.
MLA	Zhou, Xiangyu,et al."EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES".JOURNAL OF ALGEBRAIC GEOMETRY 31.1(2022):137-179.