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

作　　者：Qi'an Guan Zhitong Mi 

机构地区：[1]School of Mathematical Sciences,Peking University,Beijing 100871,China [2]Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Science China Mathematics》2022年第5期887-932,共46页中国科学：数学（英文版）

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

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 manifolds.We obtain the relation between the concavity and the L^(2)extension theorem.

关 键 词：multiplier ideal sheaf plurisubharmonic function weakly pseudoconvex Kahler manifold sublevel set 

分 类 号：O186.1[理学—数学]