Restriction formula and subadditivity property related to multiplier ideal sheaves

doi:10.1515/crelle-2019-0043

CSpace

	Restriction formula and subadditivity property related to multiplier ideal sheaves
	Guan, Qi'an 1,2; Zhou, Xiangyu 3,4,5
	2020-12-01
发表期刊	JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
ISSN	0075-4102
卷号	769 页码:1-33
摘要	We give a restriction formula on jumping numbers which is a reformulation of Demailly-Ein-Lazarsfeld's important restriction formula for multiplier ideal sheaves and a generalization of Demailly-Kollar's important restriction formula on complex singularity exponents, and then we establish necessary conditions for the extremal case in the reformulated formula; we pose the subadditivity property on the complex singularity exponents of plurisubharmonic functions which is a generalization of Demailly-Kollar's fundamental subadditivity property, and then we establish necessary conditions for the extremal case in the generalization. We also obtain two sharp relations on jumping numbers, introduce a new invariant of plurisubharmonic singularities and get its decreasing property for consecutive differences.
DOI	10.1515/crelle-2019-0043
收录类别	SCI
语种	英语
资助项目	[NSFC-11431013] ; [NSFC11825101] ; [NSFC-11522101]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000594296500001
出版者	WALTER DE GRUYTER GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57868
专题	中国科学院数学与系统科学研究院
通讯作者	Guan, Qi'an
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, AMSS, Inst Math, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Guan, Qi'an,Zhou, Xiangyu. Restriction formula and subadditivity property related to multiplier ideal sheaves[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,2020,769:1-33.
APA	Guan, Qi'an,&Zhou, Xiangyu.(2020).Restriction formula and subadditivity property related to multiplier ideal sheaves.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,769,1-33.
MLA	Guan, Qi'an,et al."Restriction formula and subadditivity property related to multiplier ideal sheaves".JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 769(2020):1-33.