Algebraic curves admitting inner and outer Galois points

2020/10/02 by Satoru Fukasawa, Fukasawa, Satoru
Computer Science · Mathematics · #14H05 #14H37 #14H50 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2010.00815

openalex publication_date 2020/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There are two purposes in this article. One is to present a criterion for the existence of a birational embedding into a projective plane with inner and outer Galois points for algebraic curves. Another is to classify plane curves of degree d admitting an inner Galois point P and an outer Galois point Q with G_PG_Q=G_P \rtimes G_Q or G_P \ltimes G_Q, under the assumption that the characteristic p is zero or p does not divide d-1.

Citations

• Plane curves possessing two outer Galois points

Related

• Algebraic curves admitting non-collinear Galois points
• Plane curves possessing two outer Galois points
• A criterion for the existence of a plane model with two inner Galois points for algebraic curves
• A birational embedding with two Galois points for certain Artin-Schreier\n curves
• Quasi-Galois points