A Fatou-Bieberbach domain avoiding a neighborhood of a variety of codimension 2
type: Item
instance of: scholarly article
title: A Fatou-Bieberbach domain avoiding a neighborhood of a variety of codimension 2
zbMATH Open document ID: 0954.32011
author: Greg Buzzard
author: John Hamal Hubbard
published in: Mathematische Annalen
publication date: 2001-02-11T00:00:00Z
review text: The authors prove the following Theorem. Let \(V\) be an algebraic variety of codimension 2 in \(\mathbb{C}^n\). Then there exists a neighborhood \(U\) of \(V\) and an injective holomorphic map \(\Phi:\mathbb{C}^n \to\mathbb{C}^n \setminus U\). This answers a question of Y.-T. Siu showing that there is a Fatou-Bieberbach domain (i.e., a proper subdomain in \(\mathbb{C}^n\) biholomorphic to \(\mathbb{C}^n)\) in the complement of some neighborhood of an algebraic subvariety of codimension two.
Mathematics Subject Classification ID: 32H35
Mathematics Subject Classification ID: 32H50
zbMATH DE Number: 1463210
zbMATH Keywords: Fatou-Bieberbach domain
reviewed by: S. Ivashkovich
MaRDI profile type: Publication
full work available at URL: s002080050350
OpenAlex ID: W2139553054
DOI: 10.1007/S002080050350
description: scientific article; zbMATH DE number 1463210