Dynamics of symmetric holomorphic maps on projective spaces.

Ueno, Kohei. "Dynamics of symmetric holomorphic maps on projective spaces.." Publicacions Matemàtiques 51.2 (2007): 333-344. <http://eudml.org/doc/41898>.

@article{Ueno2007,
abstract = {We consider complex dynamics of a critically finite holomorphic map from Pk to Pk, which has symmetries associated with the symmetric group Sk+2 acting on Pk, for each k ≥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.},
author = {Ueno, Kohei},
journal = {Publicacions Matemàtiques},
keywords = {Sistemas dinámicos complejos; Simetría; Aplicaciones equivariantes; Espacio proyectivo; symmetry; equivariant map; hyperbolicity; Axiom A; complex dynamics; Fatou set; attractive basins of superattracting points},
language = {eng},
number = {2},
pages = {333-344},
title = {Dynamics of symmetric holomorphic maps on projective spaces.},
url = {http://eudml.org/doc/41898},
volume = {51},
year = {2007},
}

TY - JOUR
AU - Ueno, Kohei
TI - Dynamics of symmetric holomorphic maps on projective spaces.
JO - Publicacions Matemàtiques
PY - 2007
VL - 51
IS - 2
SP - 333
EP - 344
AB - We consider complex dynamics of a critically finite holomorphic map from Pk to Pk, which has symmetries associated with the symmetric group Sk+2 acting on Pk, for each k ≥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.
LA - eng
KW - Sistemas dinámicos complejos; Simetría; Aplicaciones equivariantes; Espacio proyectivo; symmetry; equivariant map; hyperbolicity; Axiom A; complex dynamics; Fatou set; attractive basins of superattracting points
UR - http://eudml.org/doc/41898
ER -