Concavity of minimal L^(2) integrals related to multiplier ideal sheaves on weakly pseudoconvex Kahler manifolds

作     者：Qi'an Guan Zhitong Mi Qi'an Guan;Zhitong Mi

作者机构：School of Mathematical SciencesPeking UniversityBeijing 100871China Institute of MathematicsAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2022年第65卷第5期

页      面：887-932页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 11825101  11522101 and 11431013) 

主　　题：multiplier ideal sheaf plurisubharmonic function weakly pseudoconvex Kahler manifold sublevel set 

摘      要：In 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 *** obtain the relation between the concavity and the L^(2)extension theorem.