In this paper, we discuss our most recent results on the optimal L-2 extension problem and Siu＇s lemma as applications of the strong openness property of multiplier ideal sheaves obtained by Guan and Zhou.
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 th...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.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.11688101 and11431013)supported by the National Natural Science Foundation of China(Grant Nos.11201347 and 11671306)
文摘In this paper, we discuss our most recent results on the optimal L-2 extension problem and Siu＇s lemma as applications of the strong openness property of multiplier ideal sheaves obtained by Guan and Zhou.
文摘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.
