A note on the rank of positive closed currents

Details A note on the rank of positive closed currents A note on the rank of positive closed currents

2012-03-26

arxiv.org/abs/1203.5821v1

Mathematics

Complex Variables

This is a complement, not intended for publication, to my paper "Fatou directions along the Julia set for endomorphisms of CP^

Scientific paper

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.

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