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arXiv · 2205.08044

Modules at boundary points, fiberwise Bergman kernels, and log-subharmonicity II -- on Stein manifolds

Shijie Bao·Qi'an Guan
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Abstract

In this article, we consider Bergman kernels related to modules at boundary points on Stein manifolds, and obtain a log-subharmonicity property of the Bergman kernels. As applications, we obtain a lower estimate of weighted $L^2$ integrals on Stein manifolds, and reprove an effectiveness result of strong openness property of modules at boundary points on Stein manifolds.

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Shijie Bao, Qi'an Guan. 2022-05-17. Modules at boundary points, fiberwise Bergman kernels, and log-subharmonicity II -- on Stein manifolds. https://arxiv.org/abs/2205.08044

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