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Strong openness of multiplier ideal sheaves and optimal L^2 extension 被引量:3

Strong openness of multiplier ideal sheaves and optimal L^2 extension
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摘要 In this paper, we reveal that our solution of Demailly's strong openness conjecture implies a matrix version of the conjecture; our solutions of two conjectures of Demailly-Koll′ar and Jonsson-Mustat?a implies the truth of twisted versions of the strong openness conjecture; our optimal L^2 extension implies Berndtsson's positivity of vector bundles associated to holomorphic fibrations over a unit disc. In this paper, we reveal that our solution of Demailly's strong openness conjecture implies a matrix version of the conjecture; our solutions of two conjectures of Demailly-Kollar and Jonsson-Mustata implies the truth of twisted versions of the strong openness conjecture; our optimal L^2 extension implies Berndtsson's positivity of vector bundles associated to holomorphic fibrations over a unit disc.
出处 《Science China Mathematics》 SCIE CSCD 2017年第6期967-976,共10页 中国科学:数学(英文版)
关键词 strong openness conjecture plurisubharmonic function multiplier ideal sheaf optimal L^2 extension theorem strong openness conjecture, plurisubharmonic function, multiplier ideal sheaf, optimal L2 exten-sion theorem
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