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On formal normal forms of holomorphic germs at super-saddle fixed points

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Abstract

We consider a class of holomorphic skew product germs at super-saddle fixed points, which formally conjugate to their normal forms. We give necessary and sufficient conditions for the formal conjugacies to be holomorphic.

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Acknowledgements

Partially supported by JSPS KAKENHI Grant Number 16K05213.

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  1. Tokyo Polytechnic University, 5-45-1, Iiyamaminami, Atsugi, Kanagawa, 243-0297, Japan

    Shizuo Nakane

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  1. Shizuo Nakane
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Correspondence to Shizuo Nakane.

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Nakane, S. On formal normal forms of holomorphic germs at super-saddle fixed points. Complex Anal Synerg 9, 12 (2023). https://doi.org/10.1007/s40627-023-00123-9

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