Dynamics of symmetric holomorphic maps on projective spaces

• Autores: Kohei Ueno
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 51, Nº 2, 2007, págs. 333-344
• Idioma: español
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• Resumen

  • We consider complex dynamics of a critically finite holomorphic map from $\mathbf{P}^{k}$ to $\mathbf{P}^{k}$, which has symmetries associated with the symmetric group $S_{k+2}$ acting on $\mathbf{P}^{k}$, for each $k \ge 1$. The Fatou set of each map of this family consists of attractive basins of superattracting points. Each map of this family satisfies Axiom A.