Analytic classification of germs of parabolic antiholomorphic diffeomorphisms of codimension k

被引：1

作者：

Godin, Jonathan ^{[1
]}

Rousseau, Christiane ^{[1
]}

机构：

[1] Univ Montreal, Dept Math & Stat, CP 6128,Succ Ctr Ville, Montreal, PQ H3C 3J7, Canada

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2022年 / 42卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

antiholomorphic dynamics; antiholomorphic parabolic fixed point; local classification under analytic conjugation; space of orbits near a fixed point; MULTICORNS;

D O I：

10.1017/etds.2021.98

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the local dynamics of antiholomorphic diffeomorphisms around a parabolic fixed point. We first give a normal form. Then we give a complete classification including a modulus space for antiholomorphic germs with a parabolic fixed point under analytic conjugacy. We then study some geometric applications: existence of real analytic invariant curves, existence of holomorphic and antiholomorphic roots of holomorphic and antiholomorphic parabolic germs, and commuting holomorphic and antiholomorphic parabolic germs.

引用

页码：3619 / 3655

页数：37

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