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Concavity of minimal L^(2) integrals related to multiplier ideal sheaves on weakly pseudoconvex Kahler manifolds 被引量:1
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作者 qi'an guan Zhitong Mi 《Science China Mathematics》 SCIE CSCD 2022年第5期887-932,共46页
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... 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. 展开更多
关键词 multiplier ideal sheaf plurisubharmonic function weakly pseudoconvex Kahler manifold sublevel set
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Stability of Multiplier Ideal Sheaves
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作者 qi'an guan Zhenqian LI Xiangyu ZHOU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2022年第5期819-832,共14页
In the present article, the authors find and establish stability of multiplier ideal sheaves, which is more general than strong openness.
关键词 Plurisubharmonic function Multiplier ideal sheaf Strong openness and stability Coherent analytic sheaf L^(2)estimate
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