Partial pluricomplex energy and integrability exponents of plurisubharmonic functions

2008/04/24 by Åhag, P., Cegrell, U., Kołodziej, S. +2 · 3 citations
#14B #32U #32W #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.0804.3954

Abstract

We give a sufficient condition on the Monge-Ampère mass of a plurisubharmonic function u for exp (- 2 u) to be locally integrable. This gives a pluripotential theoretic proof of a theorem by J-P. Demailly.

Cited by

• Some inequalities for the weighted log canonical thresholds
• Continuity of solutions to complex Hessian equations on compact Hermitian manifolds
• Singular Calabi-Yau metrics

Related

• Some properties of plurisubharmonic functions
• Estimates on Monge-Ampère operators derived from a local algebra inequality
• Weighted pluricomplex energy
• Analytical approximations and Monge-Ampère masses of plurisubharmonic singularities
• Plurisubharmonic functions with weak singularities