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arXiv · 0902.1376

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

Viet-Anh Nguyen
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Abstract

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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Viet-Anh Nguyen. 2009-02-09. Green currents for quasi-algebraically stable meromorphic self-maps of CP^k. https://arxiv.org/abs/0902.1376

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