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arXiv · 1703.08387

Strong openness of multiplier ideal sheaves and optimal $L^{2}$ extension

Qi'an Guan·Xiangyu Zhou
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Abstract

In this note, 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\'{a}r and Jonsson-Mustat\u{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.

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Qi'an Guan, Xiangyu Zhou. 2017-03-24. Strong openness of multiplier ideal sheaves and optimal $L^{2}$ extension. https://doi.org/10.1007/s11425-017-9055-5

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