Roles of Plurisubharmonic Functions

doi:10.1134/S0081543819050237

	Roles of Plurisubharmonic Functions
	Zhou, Xiangyu 1,2
刊名	PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS
	2019-09-01
卷号	306 期号:1 页码:288-295
ISSN号	0081-5438
DOI	10.1134/S0081543819050237
英文摘要	We recall the basics of multiplier ideal sheaves and formulate our recent solution of Demailly's strong openness conjecture on multiplier ideal sheaves and related results. Then we present some applications in complex geometry, including some new results related to the vanishing and finiteness theorems for analytic cohomology groups with multiplier ideal sheaves in the case of pseudo-effective line bundles over holomorphically convex manifolds, and to the generalized Siu lemma and pseudo-effectiveness of the twisted relative pluricanonical bundles and their direct images.
资助项目	National Natural Science Foundation of China (NSFC)
WOS研究方向	Mathematics
语种	英语
出版者	MAIK NAUKA/INTERPERIODICA/SPRINGER
WOS记录号	WOS:000511670100023
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50744]
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, Acad Math & Syst Sci, Inst Math, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Xiangyu. Roles of Plurisubharmonic Functions[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS,2019,306(1):288-295.
APA	Zhou, Xiangyu.(2019).Roles of Plurisubharmonic Functions.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS,306(1),288-295.
MLA	Zhou, Xiangyu."Roles of Plurisubharmonic Functions".PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 306.1(2019):288-295.