A note on the rank of positive closed currents
arXiv:1203.5821
Abstract
In this short note we prove an estimate on the rank a.e. of the tangent (p,p) vector to a a positive closed current of bidimension (p,p) in CP^k, in terms of the dimension of its trace measure.
This is a complement, not intended for publication, to my paper "Fatou directions along the Julia set for endomorphisms of CP^k" [arXiv:1006.0882]