An optimal support function related to the strong openness conjecture

Qi'an Guan; Zheng Yuan

doi:10.2969/jmsj/87048704

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

An optimal support function related to the strong openness conjecture

Qi'an Guan, Zheng Yuan

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Keywords: strong openness conjecture, weighted 𝐿² integrations, multiplier ideal sheaf, plurisubharmonic function, superlevel set

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2022 Volume 74 Issue 4 Pages 1269-1293

DOI https://doi.org/10.2969/jmsj/87048704

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Abstract

In the present article, we obtain an optimal support function of weighted 𝐿² integrations on superlevel sets of psh weights, which implies the strong openness property of multiplier ideal sheaves.

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