Degenerate complex Hessian equations on compact Hermitian manifolds
Differential Geometry
2023-02-08 v1 Complex Variables
Abstract
In this note we provide uniform a priori estimates for solutions to degenerate complex Hessian equations on compact hermitian manifolds. Our approach relies on the corresponding a priori estimates for Monge-Amp\`ere equations; it provides an extension as well as a short alternative proof to results of Dinew-Ko{\l}odziej, Ko{\l}odziej-Nguyen and Guo-Phong-Tong.
Cite
@article{arxiv.2302.03354,
title = {Degenerate complex Hessian equations on compact Hermitian manifolds},
author = {Vincent Guedj and Chinh H. Lu},
journal= {arXiv preprint arXiv:2302.03354},
year = {2023}
}