Galois points for double-Frobenius nonclassical curves

被引：2

作者：

Borges, Herivelto ^{[1
]}

Fukasawa, Satoru ^{[2
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil

[2] Yamagata Univ, Fac Sci, Dept Math Sci, Kojirakawa Machi 1-4-12, Yamagata 9908560, Japan

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2020年 / 61卷

基金：

巴西圣保罗研究基金会;

关键词：

Galois point; Frobenius nonclassical curve; Rational point; FIELD-THEORY;

D O I：

10.1016/j.ffa.2019.101579

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine the distribution of Galois points for plane curves over a finite field of q elements, which are Frobenius nonclassical for different powers of q. This family is an important class of plane curves with many remarkable properties. It contains the Dickson-Guralnick-Zieve curve, which has been recently studied by Giulietti, Korchmaros, and Timpanella from several points of view. A problem posed by the second author in the theory of Galois points is modified. (C) 2019 Published by Elsevier Inc.

引用

页数：8

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