English

Modulus of continuity of Monge--Amp\`ere potentials in big cohomology classes

Complex Variables 2025-04-23 v1

Abstract

In this paper, we prove a uniform estimate for the modulus of continuity of solutions to degenerate complex Monge--Amp\`ere equation in big cohomology classes. This improves the previous results of Di Nezza--Lu and of the first author.

Keywords

Cite

@article{arxiv.2504.15763,
  title  = {Modulus of continuity of Monge--Amp\`ere potentials in big cohomology classes},
  author = {Quang-Tuan Dang and Hoang-Son Do and Hoang Hiep Pham},
  journal= {arXiv preprint arXiv:2504.15763},
  year   = {2025}
}

Comments

17 pages, comments welcome!