English

Pluripotential estimates on compact Hermitian manifolds

Complex Variables 2009-10-21 v1 Differential Geometry

Abstract

We discuss pluripotential aspects of the Monge-Amp\`ere equations on compact Hermitian manifolds and prove LL^{\infty} estimates for any metric, as well as the existence of weak solutions under an extra assumption.

Keywords

Cite

@article{arxiv.0910.3937,
  title  = {Pluripotential estimates on compact Hermitian manifolds},
  author = {Slawomir Dinew and Slawomir Kolodziej},
  journal= {arXiv preprint arXiv:0910.3937},
  year   = {2009}
}

Comments

14 pages; preliminary version

R2 v1 2026-06-21T14:01:07.520Z