Characterization of multiplier ideal sheaves with weights of Lelong number one

doi:10.1016/j.aim.2015.08.002

CSpace > 数学所

	Characterization of multiplier ideal sheaves with weights of Lelong number one
	Guan, Qi'an 1,2; Zhou, Xiangyu3,4
	2015-11-05
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	285 页码:1688-1705
摘要	In this article, we characterize plurisubharmonic functions of Lelong number one at the origin, such that the germ of the associated multiplier ideal sheaf is nontrivial: in arbitrary complex dimension, their singularity must be the sum of a germ of smooth divisor and of a plurisubharmonic function with zero Lelong number. We also present a new proof of the related well known integrability criterion due to Skoda. (C) 2015 Elsevier Inc. All rights reserved.
关键词	L-2 extension theorem Plurisubharmonic function Lelong number Multiplier ideal sheaf
DOI	10.1016/j.aim.2015.08.002
语种	英语
资助项目	[NSFC-11431013]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000376417800045
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22803
专题	数学所
通讯作者	Zhou, Xiangyu
作者单位	1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Inst Math, AMSS, Beijing, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Guan, Qi'an,Zhou, Xiangyu. Characterization of multiplier ideal sheaves with weights of Lelong number one[J]. ADVANCES IN MATHEMATICS,2015,285:1688-1705.
APA	Guan, Qi'an,&Zhou, Xiangyu.(2015).Characterization of multiplier ideal sheaves with weights of Lelong number one.ADVANCES IN MATHEMATICS,285,1688-1705.
MLA	Guan, Qi'an,et al."Characterization of multiplier ideal sheaves with weights of Lelong number one".ADVANCES IN MATHEMATICS 285(2015):1688-1705.