A birational embedding with two Galois points for certain Artin-Schreier\n curves

2017/12/21 by Satoru Fukasawa, Fukasawa, Satoru, Kazuki Higashine +1
Arts and Humanities · Mathematics · #14H37 #14H50 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Historical Studies and Socio-cultural Analysis

paper · pdf · doi:10.48550/arxiv.1712.07831

openalex publication_date 2017/12/21 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We show that two curves of Artin-Schreier type have a birational embedding\ninto a projective plane with two Galois points. As a consequence, all curves\nwith large automorphism groups in the classification list by Henn have a\nbirational embedding with two Galois points.\n

Related

• Algebraic curves admitting inner and outer Galois points
• Algebraic curves admitting non-collinear Galois points
• Plane curves possessing two outer Galois points
• Quasi-Galois points, II: Arrangements
• Quasi-Galois points