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
- DOI: 10.5565/publmat_51207_04
- Enlaces
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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.
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