论文标题

堕落的方法对斯柯达的分区定理

A degeneration approach to Skoda's Division Theorem

论文作者

Albesiano, Roberto

论文摘要

我们通过退化论证证明了斯柯达型分区定理。证明的灵感来自B. Berndtsson和L. Lempert对$ L^2 $扩展定理的方法,并基于直接图像捆绑包的积极性。然后,使用相同的工具来稍微简化,并扩展Berndtsson和Lempert给出的$ L^2 $扩展定理的证明。

We prove a Skoda-type division theorem via a degeneration argument. The proof is inspired by B. Berndtsson and L. Lempert's approach to the $L^2$ extension theorem and is based on positivity of direct image bundles. The same tools are then used to slightly simplify and extend the proof of the $L^2$ extension theorem given by Berndtsson and Lempert.

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