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 ๐ฟ2 integrations, multiplier ideal sheaf, plurisubharmonic function, superlevel set
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2022 Volume 74 Issue 4 Pages 1269-1293

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Abstract

In the present article, we obtain an optimal support function of weighted ๐ฟ2 integrations on superlevel sets of psh weights, which implies the strong openness property of multiplier ideal sheaves.

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