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arXiv · 2001.06428

Analytic Classification of Germs of Parabolic Antoholomorphic Diffeomorphisms of Codimension k

Jonathan Godin·Christiane Rousseau
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Abstract

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.

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Jonathan Godin, Christiane Rousseau. 2020-01-17. Analytic Classification of Germs of Parabolic Antoholomorphic Diffeomorphisms of Codimension k. https://arxiv.org/abs/2001.06428

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