Strong openness conjecture for plurisubharmonic functions

Abstract

In this article, we give a proof of the strong openness conjecture for plurisubharmonic functions posed by Demailly.

14 pages

References in corpus (1)

• Dynamic multiplier ideal sheaves and the construction of rational curves in Fano manifolds

Cited by in corpus (19)

• Effectiveness of Demailly's strong openness conjecture and related problems
• Extension of holomorphic functions defined on non reduced analytic subvarieties
• Strong openness conjecture and related problems for plurisubharmonic functions
• Strong openness of multiplier ideal sheaves and optimal $L^2$ extension
• Geodesic Rays and Kähler-Ricci Trajectories on Fano Manifolds
• Multiplier ideal sheaves, jumping numbers, and the restriction formula
• A sharp effectiveness result of Demailly's strong openness conjecture
• Equivalence of plurisubharmonic singularities and Siu-type metrics
• Characterization of multiplier ideal sheaves with weights of Lelong number one
• General concavity of minimal $L^2$ integrals related to multiplier ideal sheaves
• Estimation of weighted $L^2$ norm related to Demailly's Strong Openness Conjecture
• Twisted version of Strong openness property in $L^p$
• A global approximation result by Al Taylor and the strong openness conjecture in C^n
• Decreasing equisingular approximations with analytic singularities
• A support function of the weighted $L^2$ integrations on the superlevel sets of the weights
• A remark on equisingular approximations of quasi-plurisubharmonic functions
• $L^2$ estimates for the $\bar{\partial }$ operator
• A Characterization of regular points by $L^2$ Extension Theorem
• Multiplier ideal sheaves, complex singularity exponents, and restriction formula