Geometric estimates for complex Monge-Ampere equations
Differential Geometry
2017-06-07 v1 Analysis of PDEs
Abstract
We prove uniform gradient and diameter estimates for a family of geometric complex Monge-Ampere equations. Such estimates can be applied to study geometric regularity of singular solutions of complex Monge-Ampere equations. We also prove a uniform diameter estimate for collapsing families of twisted Kahler-Einstein metrics on Kahler manifolds of nonnegative Kodaira dimensions.
Cite
@article{arxiv.1706.01527,
title = {Geometric estimates for complex Monge-Ampere equations},
author = {Xin Fu and Bin Guo and Jian Song},
journal= {arXiv preprint arXiv:1706.01527},
year = {2017}
}