论文标题
光纤伯格曼内核，矢量束和对数 - 谐音性
Fiberwise Bergman kernels, vector bundles, and log-subharmonicity
论文作者
论文摘要
在本文中，我们考虑了与模块相关的Bergman内核，用于在霍明型向量捆绑包上的单一隐士指标的边界点，并获得伯格曼内核的对数 - 扣属性。作为应用程序，我们获得了较低的加权$ l^2 $积分在多个Plurisubharmonic函数集中的估计，并决定了模块强大的开放性属性的有效性。
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.
