Effectiveness of Demailly's strong openness conjecture and related problems

doi:10.1007/s00222-014-0575-3

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	Effectiveness of Demailly's strong openness conjecture and related problems
	Guan, Qi'an 1,2; Zhou, Xiangyu3,4
	2015-11-01
发表期刊	INVENTIONES MATHEMATICAE
ISSN	0020-9910
卷号	202 期号:2 页码:635-676
摘要	In 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.
DOI	10.1007/s00222-014-0575-3
语种	英语
资助项目	NSFC
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000364224400002
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21131
专题	数学所
通讯作者	Zhou, Xiangyu
作者单位	1.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
推荐引用方式 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.