Green currents for quasi-algebraically stable meromorphic self-maps of Pk

• Autores: Viêt-Anh Nguyên
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 56, Nº 1, 2012, págs. 127-146
• Idioma: inglés
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• Resumen

  • 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 1(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.