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

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 $M$.

9 pages. In the revision credit is given to an earlier paper by Duc Viet Vu where a similar result as our Theorem 1.1 appears