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.Comment: 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

Dujardin, Romain

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arXiv

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

A note on the rank of positive closed currents

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