EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES

doi:10.1090/jag/766

	EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES
	Zhou, Xiangyu 1,3,4; Zhu, Langfeng 2
刊名	JOURNAL OF ALGEBRAIC GEOMETRY
	2022
卷号	31 期号:1 页码:137-179
ISSN号	1056-3911
DOI	10.1090/jag/766
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	UNIV PRESS INC
WOS记录号	WOS:000748872100007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59935]
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.Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 3.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, 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.