Dynamics of Quasi-parabolic One-Resonant Biholomorphisms

被引：5

作者：

Bracci, Filippo ^{[1
]}

Rong, Feng ^{[2
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2014年 / 24卷 / 03期

关键词：

Quasi-parabolic germs of biholomorphisms; Resonances; One-resonant; Attracting domains; ANALYTIC TRANSFORMATIONS; LOCAL-STRUCTURE; MANIFOLDS; TANGENT; INDEX;

D O I：

10.1007/s12220-012-9382-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the dynamics of germs of quasi-parabolic one-resonant biholomorphisms of C (n+1) fixing the origin, namely, those germs whose differential at the origin has one eigenvalue 1 and the others having a one-dimensional family of resonant relations. We define some invariants and give conditions which ensure the existence of attracting domains for such maps.

引用

页码：1497 / 1508

页数：12