Analytic Classification of Germs of Parabolic Antoholomorphic Diffeomorphisms of Codimension k

Autor:	Godin, Jonathan, Rousseau, Christiane
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems Mathematics - Complex Variables 37F45 32H50
Druh dokumentu:	Working Paper
Popis:	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 curve, existence of holomorphic and antiholomorphic roots of holomorphic and antiholomorphic parabolic germs, commuting holomorphic and antiholomorphic parabolic germs. Comment: 42 pages, 19 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.06428 Zobrazit plný text záznamu View this record from Arxiv