English

Modulus of continuity for solutions to complex Monge-Amp\`ere equations on Hermitian manifolds

Complex Variables 2025-10-28 v1

Abstract

In this note, we give a proof of the uniform log-continuity of the solution to complex Monge-Amp\`ere equations on compact Hermitian manifolds, which is a generalization of the result of Guo-Phong-Tong-Wang in the K\"ahler case.

Keywords

Cite

@article{arxiv.2510.22774,
  title  = {Modulus of continuity for solutions to complex Monge-Amp\`ere equations on Hermitian manifolds},
  author = {Junbang Liu},
  journal= {arXiv preprint arXiv:2510.22774},
  year   = {2025}
}