Parabolic implosion for endomorphisms of \(\mathbb C^2\)

DOI10.4171/JEMS/911zbMath1435.32020arXiv1607.08104OpenAlexW2968266114MaRDI QIDQ2279503

Fabrizio Bianchi

Publication date: 12 December 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08104

zbMATH Keywords

holomorphic dynamicsparabolic implosionmaps tangent to the identity

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) Dynamical systems over complex numbers (37F99)

Related Items (3)

Geometric methods in holomorphic dynamics ⋮ Birational properties of tangent to the identity germs without non‐degenerate singular directions ⋮ Non-autonomous parabolic bifurcation

Cites Work

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• A two-dimensional polynomial mapping with a wandering Fatou component
• On \'Ecalle-Hakim's theorems in holomorphic dynamics
• Fatou Flowers and Parabolic Curves
• Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping

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