A note on attracting domains for holomorphic maps in ℂ2 tangent to the identity

DOI10.1142/s0129167x23500520OpenAlexW4376565629MaRDI QIDQ6095455

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Publication date: 8 September 2023

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x23500520

zbMATH Keywords

attracting domainsholomorphic maps tangent to the identityFuchsian characteristic directions

Mathematics Subject Classification ID

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

Cites Work

• Domain of attraction for maps tangent to the identity in \(\mathbb C^2\) with characteristic direction of higher degree
• Poincaré-Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields
• The residual index and the dynamics of holomorphic maps tangent to the identity
• Analytic transformations of \((\mathbb{C}^p,0)\) tangent to the identity
• New invariants and attracting domains for holomorphic maps in \(\mathbb{C}^2\) tangent to the identity
• Degenerate characteristic directions for maps tangent to the identity
• Fatou Flowers and Parabolic Curves
• A Brief Survey on Local Holomorphic Dynamics in Higher Dimensions
• The dynamics of maps tangent to the identity and with nonvanishing index
• Characteristic directions of two-dimensional biholomorphisms
• Discrete holomorphic local dynamical systems
• THE NON-DICRITICAL ORDER AND ATTRACTING DOMAINS OF HOLOMORPHIC MAPS TANGENT TO THE IDENTITY
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