October, 2022 An optimal support function related to the strong openness conjecture
Qi'an GUAN, Zheng YUAN
Author Affiliations +
J. Math. Soc. Japan 74(4): 1269-1293 (October, 2022). DOI: 10.2969/jmsj/87048704

Abstract

In the present article, we obtain an optimal support function of weighted $L^{2}$ integrations on superlevel sets of psh weights, which implies the strong openness property of multiplier ideal sheaves.

Funding Statement

The first named author was supported by NSFC-11825101, NSFC-11522101 and NSFC-11431013.

Citation

Download Citation

Qi'an GUAN. Zheng YUAN. "An optimal support function related to the strong openness conjecture." J. Math. Soc. Japan 74 (4) 1269 - 1293, October, 2022. https://doi.org/10.2969/jmsj/87048704

Information

Received: 17 May 2021; Published: October, 2022
First available in Project Euclid: 25 May 2022

zbMATH: 1504.32027
MathSciNet: MR4499835
Digital Object Identifier: 10.2969/jmsj/87048704

Subjects:
Primary: 32D15
Secondary: 32E10 , 32L10 , 32U05 , 32W05

Keywords: multiplier ideal sheaf , plurisubharmonic function , strong openness conjecture , superlevel set , weighted $L^{2}$ integrations

Rights: Copyright ©2022 Mathematical Society of Japan

JOURNAL ARTICLE
25 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.74 • No. 4 • October, 2022
Back to Top