(C^2,0)的全纯微分同态的中性耗散胚的刺猬

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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