Some families of polynomial automorphisms III

被引：2

作者：

Edo, Eric ^{[1
]}

Lewis, Drew ^{[2
]}

机构：

[1] Univ New Caledonia, ERIM, Noumea, New Caledonia

[2] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2015年 / 219卷 / 04期

关键词：

PLANE;

D O I：

10.1016/j.jpaa.2014.05.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the closure (for the Zariski topology) of the set of polynomial a,utomorphisms of the complex affine plane whose polydegree is (cd-1, b, a) contains all automorphisms of polydegree (cd + a) where a, b >= 2 and c >= 1 are integers and d = ab-1. When b = 2, this result gives a family of counterexamples to a conjecture of Furter. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：864 / 874

页数：11

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