Algebraic curves admitting non-collinear Galois points

2019/08/01 by Satoru Fukasawa, Fukasawa, Satoru
Computer Science · Engineering · Mathematics · #14H05 #14H37 #14H50 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1908.00259

openalex publication_date 2019/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A criterion for the existence of a birational embedding into a projective plane with non-collinear Galois points for algebraic curves is presented. A new example of a plane curve with non-collinear Galois points as an application is described. Furthermore, a new characterization of the Fermat curve in terms of non-collinear Galois points is presented.

Related

• Algebraic curves admitting inner and outer Galois points
• Descendants of algebraic curves admitting two Galois points
• Quasi-Galois points
• A criterion for the existence of a plane model with two inner Galois points for algebraic curves
• Simultaneous Galois points for a reducible plane curve consisting of nonsingular components