Abstract
In this paper, we prove that if T is a positive plurisuperharmonic current of bidimension (p,p) on an open set Ω of Cn, 0<p<n, then there exists a pluripolar subset ET of Ω such that the Lelong number νT(z) of T at z exists for every z∈Ω∖ET. We give an example to show that the exceptional subset ET is non-empty in general. Furthermore, we prove a comparison theorem for this class of currents and we conclude that this number is independent of the system of coordinates.