English

The $L^{\infty}$ estimate for parabolic complex Monge-Amp\`ere equations

Differential Geometry 2025-07-30 v1

Abstract

Following the recent development by Guo-Phong-Tong and Chen-Cheng, we derived the LL^{\infty} estimate for K\"ahler-Ricci flows under a weaker assumption. The technique also extends to more general cases coming from different geometric backgrounds.

Keywords

Cite

@article{arxiv.2306.16730,
  title  = {The $L^{\infty}$ estimate for parabolic complex Monge-Amp\`ere equations},
  author = {Qizhi Zhao},
  journal= {arXiv preprint arXiv:2306.16730},
  year   = {2025}
}
R2 v1 2026-06-28T11:17:37.365Z