Algebraic geometry's approach to permutation polynomials in several indeterminates

被引：0

作者：

Zhang, QF ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 1997年 / 4卷 / 04期

关键词：

permutation polynomial; algebraic curve; algebraic set; morphism; rational map;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 1991, Niederreiter proposed an open problem - to characterize the polynomials in F-q[x(1),...,x(n)] which are permutation polynomials over all finite extensions of F-q. The answer is well known for the case of n = 1. In the present paper, the author studies this problem for the case of n = 2 and gives a geometric characterization.

引用

页码：361 / 366

页数：6

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