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arXiv · 2210.00530

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

Bo Berndtsson
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Abstract

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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Bo Berndtsson. 2022-10-02. Plurisubharmonic functions and real submanifolds of $\C^n$. https://arxiv.org/abs/2210.00530

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