Fiberwise Bergman kernels, vector bundles, and log-subharmonicity
| Autor: | Bao, Shijie, Guan, Qi'an |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $L^2$ integrals on sublevel sets of plurisubharmonic functions, and reprove an effectiveness result of the strong openness property of the modules. Comment: 32 pages, all comments are welcome! arXiv admin note: substantial text overlap with arXiv:2205.08044, arXiv:2206.00443 |
| Databáze: | arXiv |
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