Green currents for quasi-algebraically stable meromorphic self-maps of CP^k

Details Green currents for quasi-algebraically stable meromorphic self-maps of CP^k Green currents for quasi-algebraically stable meromorphic self-maps of CP^k

2009-02-09

arxiv.org/abs/0902.1376v2

Publ. Math. 56 (2012), 127-146

Mathematics

Complex Variables

15 pages

Scientific paper

We construct a canonical Green current T_f for every quasi-algebraically
stable meromorphic self-map f of CP^k such that its first dynamical degree
\lambda_1(f) is a simple root of its characteristic polynomial and that
\lambda_1(f) > 1. We establish a functional equation for T_f and show that the
support of T_f is contained in the Julia set of f, which is thus non empty.

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