An Optimal Support Function related to the strong openness conjecture

2021/05/17 by Qi’an Guan, Zheng Yuan, Guan, Qi'an +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Complex Variables (math.CV) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2105.07755

openalex publication_date 2021/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• A support function of the weighted L² integrations on the superlevel sets of the weights
• Equivalence of the sharp effectiveness results of strong openness property
• Boundary points, Minimal L² integrals and Concavity property
• Strong openness conjecture and related problems for plurisubharmonic functions
• The weighted log canonical threshold