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Concavity of minimal L-2 integrals related to multiplier ideal sheaves on weakly pseudoconvex Kahler manifolds
Guan, Qi'an1; Mi, Zhitong1,2
2022-02-23
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Pages46
AbstractIn this paper, we present the concavity of the minimal L-2 integrals related to multiplier ideal sheaves on the weakly pseudoconvex Kahler manifolds which implies the sharp effectiveness results of the strong openness conjecture and a conjecture posed by Demailly and Kollar (2001) on weakly pseudoconvex Kahler manifolds. We obtain the relation between the concavity and the L-2 extension theorem.
Keywordmultiplier ideal sheaf plurisubharmonic function weakly pseudoconvex Kahler manifold sublevel set
DOI10.1007/s11425-021-1930-2
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11825101] ; National Natural Science Foundation of China[11522101] ; National Natural Science Foundation of China[11431013]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000763245100001
PublisherSCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60018
Collection中国科学院数学与系统科学研究院
Corresponding AuthorGuan, Qi'an
Affiliation1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Guan, Qi'an,Mi, Zhitong. Concavity of minimal L-2 integrals related to multiplier ideal sheaves on weakly pseudoconvex Kahler manifolds[J]. SCIENCE CHINA-MATHEMATICS,2022:46.
APA Guan, Qi'an,&Mi, Zhitong.(2022).Concavity of minimal L-2 integrals related to multiplier ideal sheaves on weakly pseudoconvex Kahler manifolds.SCIENCE CHINA-MATHEMATICS,46.
MLA Guan, Qi'an,et al."Concavity of minimal L-2 integrals related to multiplier ideal sheaves on weakly pseudoconvex Kahler manifolds".SCIENCE CHINA-MATHEMATICS (2022):46.
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