论文标题

$ \ c^n $

Plurisubharmonic functions and real submanifolds of $\C^n$

论文作者

Berndtsson, Bo

论文摘要

我们对接近真正的Submanifold $ M $的分析品种的体积(或更一般而言是正闭合电流的质量)进行了估计。申请被应用于$ M $的多样性交集的Hausdorff度量,以及在$ M $上的Plurisubharmonic功能的指数集成性。

We give an estimate for the volume of an analytic variety (or more generally the mass of a positive closed current) close to a real submanifold $M$. Applications are given to the Hausdorff measure of the intersection of the variety with $M$ and the exponential integrability of plurisubharmonic functions on $M$.

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