Quadratic tame generators problem of rank three

被引：1

作者：

de Bondt, Michiel ^{[1
]}

Sun, Xiaosong ^{[2
]}

机构：

[1] Radboud Univ Nijmegen, Inst Math Astrophys & Particle Phys, Nijmegen, Netherlands

[2] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2020年 / 587卷

关键词：

Tame generators problem; Rusek's conjecture; Keller maps; Nilpotent Jacobian matrices; JACOBIAN CONJECTURE; AUTOMORPHISMS; REDUCTIONS; LESS;

D O I：

10.1016/j.laa.2019.10.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a complete classification of quadratic homogeneous polynomial maps H and Keller maps of the form x + H, for which rk JH = 3, over a field K of arbitrary characteristic. In particular, we show that such a Keller map is tame when char K not equal 2. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1 / 22

页数：22

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