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
收藏
页码：864 / 874
页数：11
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