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Effectiveness of Demailly's strong openness conjecture and related problems
Guan, Qi'an1,2; Zhou, Xiangyu3,4
2015-11-01
Source PublicationINVENTIONES MATHEMATICAE
ISSN0020-9910
Volume202Issue:2Pages:635-676
AbstractIn this article, stimulated by the effectiveness in Berndtsson's solution of the openness conjecture and continuing our solution of Demailly's strong openness conjecture, we discuss conditions to guarantee the effectiveness of the conjecture and establish such an effectiveness result. We explicitly point out a lower semicontinuity property of plurisubharmonic functions with a multiplier, which is implicitly contained in Guan and Zhou (2014, arXiv:1401.7158). We also obtain optimal effectiveness of the conjectures of Demailly-Kollar and Jonsson-Mustat respectively.
DOI10.1007/s00222-014-0575-3
Language英语
Funding ProjectNSFC
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000364224400002
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:12[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21131
Collection数学所
Affiliation1.Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China
2.Peking Univ, Sch Math Sci, 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
Recommended Citation
GB/T 7714
Guan, Qi'an,Zhou, Xiangyu. Effectiveness of Demailly's strong openness conjecture and related problems[J]. INVENTIONES MATHEMATICAE,2015,202(2):635-676.
APA Guan, Qi'an,&Zhou, Xiangyu.(2015).Effectiveness of Demailly's strong openness conjecture and related problems.INVENTIONES MATHEMATICAE,202(2),635-676.
MLA Guan, Qi'an,et al."Effectiveness of Demailly's strong openness conjecture and related problems".INVENTIONES MATHEMATICAE 202.2(2015):635-676.
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