Uniform diameter estimates for Kaehler metrics in big cohomology classes
Differential Geometry
2024-11-01 v2 Complex Variables
Metric Geometry
Abstract
We generalize previous diameter estimates and local non-vanishing of volumes for Kaehler metrics to the case of big cohomology classes. In our proof, among other things, we will prove a uniform diameter estimate for a family of smooth Kaehler metrics only involving an integrability condition. We also have to use fine stability properties of complex Monge-Ampere equations with prescribed singularities.
Keywords
Cite
@article{arxiv.2410.18532,
title = {Uniform diameter estimates for Kaehler metrics in big cohomology classes},
author = {Duc-Bao Nguyen and Duc-Viet Vu},
journal= {arXiv preprint arXiv:2410.18532},
year = {2024}
}
Comments
28 pages, minor changes, comments welcome