Green currents for quasi-algebraically stable meromorphic self-maps of CP^k
Complex Variables
2012-01-04 v2
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.
Keywords
Cite
@article{arxiv.0902.1376,
title = {Green currents for quasi-algebraically stable meromorphic self-maps of CP^k},
author = {Viet-Anh Nguyen},
journal= {arXiv preprint arXiv:0902.1376},
year = {2012}
}
Comments
15 pages