Modules at boundary points, fiberwise Bergman kernels, and log-subharmonicity
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-Mustata and the effectiveness result of strong openness property of the modules at boundary points.
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