English

Partial pluricomplex energy and integrability exponents of plurisubharmonic functions

Complex Variables 2008-05-21 v3 Algebraic Geometry

Abstract

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

Keywords

Cite

@article{arxiv.0804.3954,
  title  = {Partial pluricomplex energy and integrability exponents of plurisubharmonic functions},
  author = {P. Åhag and U. Cegrell and S. Kołodziej and H. H. Pham and A. Zeriahi},
  journal= {arXiv preprint arXiv:0804.3954},
  year   = {2008}
}

Comments

extended version with new results and more applications

R2 v1 2026-06-21T10:34:20.751Z