On face polynomials
type: Item
instance of: scholarly article
title: On face polynomials
zbMATH Open document ID: 0654.13011
DOI: 10.1016/0022-4049(88)90139-9
author: James H. McKay
author: Stuart Sui-Sheng Wang
author: Tzuong-Tsieng Moh
published in: Journal of Pure and Applied Algebra
publication date: 1988-01-01T00:00:00Z
review text: For a \({\mathbb{C}}\)-automorphism of \({\mathbb{C}}[X,Y]\) given by \(X\mapsto f\), \(Y\mapsto g\), the four polynomials f(0,t), g(0,t), f(t,0), g(t,0) are called its \textit{face polynomials}. The last two authors have proved earlier [J. Pure Appl. Algebra 40, 245-257 (1986; Zbl 0622.13003) and ibid. 52, No.1/2, 103-119 (1988)] that the face polynomials determine the automorphism and have given some conditions necessary for a set of four polynomials to be the face polynomials of an automorphisms. In this paper these conditions are proved to be also sufficient.
Mathematics Subject Classification ID: 13B25
Mathematics Subject Classification ID: 13B10
zbMATH DE Number: 4067060
zbMATH Keywords: face polynomials
zbMATH Keywords: automorphism
reviewed by: Balwant Singh
MaRDI profile type: Publication
full work available at URL: 0022-4049(88)90139-9
OpenAlex ID: W2059282143
cites work: Q3215049
cites work: Q4097032
cites work: An inversion formula for two polynomials in two variables
cites work: On the inversion formula for two polynomials in two variables
cites work: On the concept of approximate roots for algebra
cites work: Q5672729
cites work: On two fundamental theorems for the concept of approximate roots
cites work: Q5623828
description: scientific article; zbMATH DE number 4067060