Modules at boundary points, fiberwise Bergman kernels, and log-subharmonicity
Complex Variables
2022-09-20 v3
Abstract
In this article, we consider Bergman kernels with respect to modules at boundary points, and obtain a log-subharmonicity property of the Bergman kernels, which deduces a concavity property related to the Bergman kernels. As applications, we reprove the sharp effectiveness result related to a conjecture posed by Jonsson-Must\c{a}t\u{a} and the effectiveness result of strong openness property of the modules at boundary points.
Cite
@article{arxiv.2204.01413,
title = {Modules at boundary points, fiberwise Bergman kernels, and log-subharmonicity},
author = {Shijie Bao and Qi'an Guan},
journal= {arXiv preprint arXiv:2204.01413},
year = {2022}
}
Comments
24 Pages, some typos are corrected