Modules at Boundary Points,Fiberwise Bergman Kernels,and Log-Subharmonicity  

作　　者：Shijie Bao Qi’an Guan 

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

出　　处：《Peking Mathematical Journal》2024年第2期441-470,共30页北京数学杂志（英文）

基　　金：supported by National Key R&D Program of China 2021YFA1003100,NSFC-11825101,NSFC-11522101 and NSFC-11431013。

摘　　要：In this article,we consider Bergman kernels with respect to modules at boundary points,and obtain a log-subharmonicity property of the Bergman kernels,which implies a concavity property related to the Bergman kernels.As applications,we reprove the sharp effectiveness result related to a conjecture posed by Jonsson-Musta¸t˘a and the effectiveness result of strong openness property of the modules at boundary points.

关 键 词：Bergmankernels L^(2)extension Strong opennessproperty 

分 类 号：O17[理学—数学]