English

The complex Monge-Amp\`ere equation on compact Hermitian manifolds

Differential Geometry 2010-06-24 v2 Complex Variables

Abstract

We show that, up to scaling, the complex Monge-Ampere equation on compact Hermitian manifolds always admits a smooth solution.

Keywords

Cite

@article{arxiv.0910.1390,
  title  = {The complex Monge-Amp\`ere equation on compact Hermitian manifolds},
  author = {Valentino Tosatti and Ben Weinkove},
  journal= {arXiv preprint arXiv:0910.1390},
  year   = {2010}
}

Comments

9 pages; minor changes in the introduction

R2 v1 2026-06-21T13:55:32.742Z