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

DOI10.1016/J.INDAG.2023.01.004arXiv2210.00530MaRDI QIDQ6412643

Bo Berndtsson

Publication date: 2 October 2022

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 $M$.

Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05)

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