Dynamics of symmetric holomorphic maps on projective spaces

Details Dynamics of symmetric holomorphic maps on projective spaces Dynamics of symmetric holomorphic maps on projective spaces

2007-07-24

arxiv.org/abs/0707.3496v1

Mathematics

Dynamical Systems

12 pages

Scientific paper

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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