Concavity of Minimal L^(2) Integrals Related to Multiplier Ideal Sheaves  

作　　者：Qi’an Guan Zhitong Mi 

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

出　　处：《Peking Mathematical Journal》2023年第2期393-457,共65页北京数学杂志（英文）

基　　金：The first author was supported by NSFC-11825101,NSFC-11522101 and NSFC-11431013.

摘　　要：In this article,we present the concavity of the minimal L^(2) integrals related to multiplier ideals sheaves on Stein manifolds.As applications,we obtain a necessary condition for the concavity degenerating to linearity,a characterization for 1-dimensional case,and a characterization for the equality in 1-dimensional optimal L^(2) extension problem to hold.

关 键 词：Strong openness conjecture Multiplier ideal sheaf Plurisubharmonic function Sublevel set 

分 类 号：O186.1[理学—数学]