Böttcher coordinates at superattracting fixed points of holomorphic skew products

DOI10.1090/ecgd/290zbMath1337.32028arXiv1412.2202OpenAlexW2964255478MaRDI QIDQ2802138

Kohei Ueno

Publication date: 25 April 2016

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2202

zbMATH Keywords

complex dynamicsskew productsBöttcher coordinates

Mathematics Subject Classification ID

Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (3)

A construction of Böttcher coordinates for holomorphic skew products ⋮ Integrality properties of Böttcher coordinates for one-dimensional superattracting germs ⋮ Böttcher coordinates at fixed indeterminacy points

Cites Work

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• Fiberwise Green functions of skew products semiconjugate to some polynomial products on \(\mathbb C^{2}\)
• Open problems in local discrete holomorphic dynamics
• Classification of 2-dimensional contracting rigid germs and Kato surfaces. I
• Rigidification of holomorphic germs with noninvertible differential
• Contracting rigid germs in higher dimensions
• Böttcher coordinates for polynomial skew products
• Bottcher Coordinates
• Eigenvaluations
• Dynamics on Berkovich Spaces in Low Dimensions

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