A note on the rank of positive closed currents
Complex Variables
2012-03-28 v1
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.
Cite
@article{arxiv.1203.5821,
title = {A note on the rank of positive closed currents},
author = {Romain Dujardin},
journal= {arXiv preprint arXiv:1203.5821},
year = {2012}
}
Comments
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]