Abstract
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.
Citation
Kohei Ueno. "Dynamics of symmetric holomorphic maps on projective spaces." Publ. Mat. 51 (2) 333 - 344, 2007.
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