Strong openness of multiplier ideal sheaves and optimal L2 extension

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（6）
• 页码范围: 967-976
• 页数: 10页
• 语种: 英文
• DOI: 10.1007/s11425-017-9055-5

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-Kollár and Jonsson-Mustatǎ implies the truth of twisted versions of the strong openness conjecture;our optimal L2 extension implies Berndtsson's positivity of vector bundles associated to holomorphic fibrations over a unit disc.