摘要

<正>Concavity of minimal L2 integrals related to multiplier ideal sheaves on weakly pseudoconvex K?hler manifolds Qi’an Guan&Zhitong Mi Abstract In this paper,we present the concavity of the minimal L2 integrals related to multiplier ideal sheaves on the weakly pseudoconvex K?hler manifolds,which implies the sharp effectiveness results of the strong openness conjecture and a conjecture posed by Demailly and Kollár (2001) on weakly pseudoconvex K?hler manifolds.We obtain the relation between the concavity and the L2 extension theorem.