Fiberwise Bergman kernels, vector bundles, and log-subharmonicity
Complex Variables
2023-05-11 v2
Abstract
In this article, we consider Bergman kernels related to modules at boundary points for singular hermitian metrics on holomorphic vector bundles, and obtain a log-subharmonicity property of the Bergman kernels. As applications, we obtain a lower estimate of weighted integrals on sublevel sets of plurisubharmonic functions, and reprove an effectiveness result of the strong openness property of the modules.
Cite
@article{arxiv.2210.16601,
title = {Fiberwise Bergman kernels, vector bundles, and log-subharmonicity},
author = {Shijie Bao and Qi'an Guan},
journal= {arXiv preprint arXiv:2210.16601},
year = {2023}
}
Comments
32 pages, all comments are welcome! arXiv admin note: substantial text overlap with arXiv:2205.08044, arXiv:2206.00443