Remarks on automorphisms of ℂ* × ℂ* and their basins

DOI10.1080/17476930902759452zbMath1170.32008arXiv0809.2116OpenAlexW1988856436MaRDI QIDQ3627345

Liz Raquel Vivas

Publication date: 12 May 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2116

zbMATH Keywords

automorphismbasin of attractionFatou-Bieberbach domaincharacteristic directiontangent to the identity

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17) Dynamical systems over complex numbers (37F99)

Related Items

Analytic automorphisms of \({\mathbb{C}^2}\) generated by polynomial vector fields ⋮ Fatou-Bieberbach domains as basins of attraction of automorphisms tangent to the identity

Cites Work

• Attracting basins for automorphisms of \(\mathbb{C}^2\)
• Analytic transformations of \((\mathbb{C}^p,0)\) tangent to the identity
• A Fatou-Bieberbach domain in \(\mathbb C^2\) which is not Runge
• Complete vector fields on (ℂ*)ⁿ