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Restriction formula and subadditivity property related to multiplier ideal sheaves

文献类型：期刊论文

作者Guan, Qi'an1,2; Zhou, Xiangyu3,4,5
刊名JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
出版日期2020-12-01
卷号769页码:1-33
ISSN号0075-4102
DOI10.1515/crelle-2019-0043
英文摘要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.
资助项目[NSFC-11431013] ; [NSFC11825101] ; [NSFC-11522101]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000594296500001
出版者WALTER DE GRUYTER GMBH
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57867]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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