Formal normal forms for holomorphic maps tangent to the identity

zbMath1144.37435arXivmath/0411085MaRDI QIDQ934367

Marco Abate, Francesca Tovena

Publication date: 29 July 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411085

zbMATH Keywords

holomorphic dynamical systemsmaps tangent to the identityformal normal forms

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (6)

Fatou Flowers and Parabolic Curves ⋮ Domain of attraction for maps tangent to the identity in \(\mathbb C^2\) with characteristic direction of higher degree ⋮ Contracting rigid germs in higher dimensions ⋮ Tropical Hopf manifolds and contracting germs ⋮ Open problems in local discrete holomorphic dynamics ⋮ A general approach to index theorems for holomorphic maps and foliations

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