Some Polynomial Maps with Jacobian Rank Two or Three  

作　　者：Dan Yan 

机构地区：[1]MOE-LCSM,School of Mathematics and Statistics Hunan Normal University,Changsha 410081,China

出　　处：《Algebra Colloquium》2022年第2期341-360,共20页代数集刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11601146,11871241);the Natural Science Foundation of Hunan Province(Grant No.2016JJ3085);the Construct Program of the Key Discipline in Hunan Province.

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^((0))_(2)(x_(2)),H_(3)(x_(1),x_(2)),…,H_(n)(x_(1),x_(2))).

关 键 词：Jacobian conjecture nilpotent Jacobian matrix polynomial maps 

分 类 号：O15[理学—数学]