Galois lines for a space model of the quotient of the Hermitian curve by an involution in odd characteristic

IF 1.3 3区数学 Q1 MATHEMATICS

Finite Fields and Their Applications Pub Date : 2026-06-01 Epub Date: 2026-02-03 DOI:10.1016/j.ffa.2026.102810

Satoru Fukasawa

引用次数: 0

Abstract

This paper describes the arrangement of all Galois lines for a space model of the quotient of the Hermitian curve by an involution in odd characteristic, in terms of the geometry over finite fields. This paper also determines all Galois points for three plane models of this curve admitting three or more Galois points.

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用奇特征对合得到厄密曲线商的空间模型的伽罗瓦线

本文从有限域几何的角度，用奇特征对合的方法描述了厄密曲线商的空间模型中所有伽罗瓦线的排列。本文还确定了该曲线的三个平面模型的所有伽罗瓦点，这些平面模型包含三个或更多的伽罗瓦点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Finite Fields and Their Applications 数学-数学

CiteScore

2.00

自引率

20.00%

发文量

133

审稿时长

6-12 weeks

期刊介绍： Finite Fields and Their Applications is a peer-reviewed technical journal publishing papers in finite field theory as well as in applications of finite fields. As a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics, including linear and abstract algebra, number theory and algebraic geometry, as well as in computer science, statistics, information theory, and engineering. For cohesion, and because so many applications rely on various theoretical properties of finite fields, it is essential that there be a core of high-quality papers on theoretical aspects. In addition, since much of the vitality of the area comes from computational problems, the journal publishes papers on computational aspects of finite fields as well as on algorithms and complexity of finite field-related methods. The journal also publishes papers in various applications including, but not limited to, algebraic coding theory, cryptology, combinatorial design theory, pseudorandom number generation, and linear recurring sequences. There are other areas of application to be included, but the important point is that finite fields play a nontrivial role in the theory, application, or algorithm.