Dynamics of symmetric holomorphic maps on projective spaces

被引：3

作者：

Ueno, Kohhei ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Human & Environm Studies, Sakyo Ku, Kyoto 6068501, Japan

来源：

PUBLICACIONS MATEMATIQUES | 2007年 / 51卷 / 02期

关键词：

complex dynamics; symmetry; equivariant map; hyperbolicity; Axiom A;

D O I：

10.5565/PUBLMAT_51207_04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Faton set of each map of this family consists of attractive basins of superattracting points. Each map of this family satisfies Axiom A.

引用

页码：333 / 344

页数：12

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