Some Polynomial Maps with Jacobian Rank Two or Three

被引：1
|
作者：
Yan, Dan [1 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2022年 / 29卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Jacobian conjecture; nilpotent Jacobian matrix; polynomial maps; NILPOTENT JACOBIANS; CLASSIFICATION; CONJECTURE;
D O I：
10.1142/S1005386722000268
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We classify all polynomial maps of the form H = (u(x, y, z), v(x, y, z), h(x, y)) in the case when the Jacobian matrix of H is nilpotent and the highest degree of z in v is no more than 1. In addition, we generalize the structure of polynomial maps H to H = (H-1(x(1), x(2), ..., x(n)), b(3)x(3) + ... + b(n)x(n) + H-2((0)) (x(2)), H-3(x(1), x(2)), ..., H-n(x(1), x(2))).
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页码：341 / 360
页数：20
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