Abstract
We construct a canonical Green current $T_f$ for every quasi-algebraically stable meromorphic self-map $f$ of $\mathbb{P}^k$ 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, which is thus non empty.
Citation
Viêt-Anh Nguyên. "Green currents for quasi-algebraically stable meromorphic self-maps of $\mathbb{P}^k$." Publ. Mat. 56 (1) 127 - 146, 2012.
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