(C^2,0)的全纯微分同态的中性耗散胚的刺猬

IF 1 4区数学 Q1 MATHEMATICS

Asterisque Pub Date : 2020-01-01 DOI:10.24033/ast.11114

Tanya Firsova, M. Lyubich, Remus Radu, Raluca Tanase

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引用次数: 6

摘要

本文利用拓扑技术证明了(C, 0)具有半中立不动点的复解析微分同态胚芽刺猬的存在性。对于(C, 0)具有中立不动点的一元全纯映射的芽，这种方法也提供了psamrez - marco关于刺猬存在性的定理的另一种证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of (C^2,0)

We prove the existence of hedgehogs for germs of complex analytic diffeomorphisms of (C, 0) with a semi-neutral fixed point at the origin, using topological techniques. This approach also provides an alternative proof of a theorem of Pérez-Marco on the existence of hedgehogs for germs of univalent holomorphic maps of (C, 0) with a neutral fixed point.

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来源期刊

Asterisque MATHEMATICS-

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

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