arXiv 0902.13762009-02math.CV

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

Viet-Anh Nguyen

备注：: 15 pages
发表信息：: Publ. Math. 56 (2012), 127-146

英文摘要：

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 λ_1(f) is a simple root of its characteristic polynomial and that λ_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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