Conjugation for polynomial mappings
type: Item
instance of: scholarly article
title: Conjugation for polynomial mappings
zbMATH Open document ID: 0840.58013
DOI: 10.1007/BF00917874
author: Bo Deng
author: Gary H. Meisters
author: Gaetano Zampieri
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1996-07-09T00:00:00Z
review text: This paper suggests a new approach to the Jacobian Conjecture. For a polynomial mapping \(f: \mathbb{C}^n\to \mathbb{C}^n\) with \(f(0)= 0\), \(f'(0)= \text{Id}\) and \(\text{det } f'(x)= 1\) for all \(x\) in \(\mathbb{C}^n\), the authors look for entire mappings \(h_\lambda: \mathbb{C}^n\to \mathbb{C}^n\) conjugating \(\lambda f\) to its linear part \(\lambda\text{ Id}\) at the origin.
Mathematics Subject Classification ID: 58C10
Mathematics Subject Classification ID: 32A15
zbMATH DE Number: 831610
zbMATH Keywords: polynomial mappings
zbMATH Keywords: conjugation
zbMATH Keywords: Jacobian conjecture
reviewed by: Alexandru Dimca
MaRDI profile type: Publication
cites work: Q4744562
cites work: The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
cites work: Injective Morphisms of Real Algebraic Varieties
cites work: Global inversion of functions: An introduction
cites work: Dynamical properties of plane polynomial automorphisms
cites work: Ganze Cremona-Transformationen
cites work: Q4764501
cites work: One-One Polynomial Maps
cites work: A geometric approach to Keller's Jacobian conjecture
cites work: Inversion of smooth mappings
cites work: Keller's problem
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description: scientific article; zbMATH DE number 831610