Effectiveness of Demailly's strong openness conjecture and related problems | |
Guan, Qi'an1,2; Zhou, Xiangyu3,4![]() | |
2015-11-01 | |
发表期刊 | INVENTIONES MATHEMATICAE
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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. |
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