论文标题
最佳$ l^2 $ holomorphic矢量束的扩展与单数隐士指标
Optimal $L^2$ extension for holomorphic vector bundles with singular hermitian metrics
论文作者
论文摘要
在本文中，我们研究了单一遗传学指标对全态矢量捆绑包的奇异纳卡诺（Nakano）阳性的特性，并建立了一个最佳的$ l^2 $ l^2 $扩展定理，用于与单数的Hermitian指标，具有虚弱的Hermitian指标。作为应用程序，我们为在最佳$ l^2 $扩展定理中持有平等的必要条件，并呈现一些$ l^2 $扩展定理的奇异遗传学霍尔米克式矢量捆绑包版本，具有最佳估计。
In the present paper, we study the properties of singular Nakano positivity of singular hermitian metrics on holomorphic vector bundles, and establish an optimal $L^2$ extension theorem for holomorphic vector bundles with singular hermitian metrics on weakly pseudoconvex Kähler manifolds. As applications, we give a necessary condition for the holding of the equality in optimal $L^2$ extension theorem, and present singular hermitian holomorphic vector bundle versions of some $L^2$ extension theorems with optimal estimate.
