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arXiv · 0707.3496

Dynamics of symmetric holomorphic maps on projective spaces

Kohei Ueno
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Abstract

We consider complex dynamics of a critically finite holomorphic map from P^k to P^k, which has symmetries associated with the symmetric group S_{k+2} acting on 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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Kohei Ueno. 2007-07-24. Dynamics of symmetric holomorphic maps on projective spaces. https://arxiv.org/abs/0707.3496

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