@article{Bao2024, 
author = {Shijie Bao and Qi’an Guan},
title = {Modules at Boundary Points, Fiberwise Bergman Kernels, and Log-Subharmonicity},
year = {2024},
journal = {Peking Mathematical Journal},
volume = {7},
number = {2},
pages = {441-470},
keywords = {Bergman kernels, L2 extension, Strong openness property},
url = {https://www.sciopen.com/article/10.1007/s42543-023-00070-8},
doi = {10.1007/s42543-023-00070-8},
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 implies a concavity property related to the Bergman kernels. As applications, we reprove the sharp effectiveness result related to a conjecture posed by Jonsson–Mustaţă and the effectiveness result of strong openness property of the modules at boundary points.}
}