Home > Articles > Published articles > Green currents for quasi-algebraically stable meromorphic self-maps of Pk |
Date: | 2012 |
Abstract: | We construct a canonical Green current Tf for every quasi-algebraically stable meromorphic self-map f of Pk such that its rst dynamical degree 1(f) is a simple root of its characteristic polynomial and that λ1(f) > 1: We establish a functional equation for Tf and show that the support of Tf is contained in the Julia set, which is thus non empty. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Quasi-algebraically stable meromorphic map ; Algebraic degree ; Rst dy-namical degree ; Green current |
Published in: | Publicacions matemàtiques, Vol. 56, Núm. 1 ( 2012) , p. 127-146, ISSN 2014-4350 |
20 p, 398.8 KB |