A family of plane curves with two or more Galois points in positive characteristic

TL;DR

This paper introduces new families of plane curves over finite fields that possess multiple Galois points, expanding understanding of their structure and Galois properties in positive characteristic.

Contribution

It provides explicit examples and describes the number of Galois points for these curves using finite field techniques, advancing the classification of Galois points in algebraic geometry.

Findings

Constructed new families of plane curves with multiple Galois points

Determined the number of Galois points for these curves

Utilized finite field methods to analyze Galois points

Abstract

We give new examples of plane curves with two or more Galois points as a family, and describe the number of Galois points for these curves, by using finite fields.