A birational embedding with two Galois points for quotient curves

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:225

Article

Fukasawa, Satoru¹  Higashine, Kazuki² 

[1] Yamagata Univ, Fac Sci, Dept Math Sci, Kojirakawa Machi 1-4-12, Yamagata 9908560, Japan

[2] Yamagata Univ, Grad Sch Sci & Engn, Kojirakawa Machi 1-4-12, Yamagata 9908560, Japan

关键词: Galois point;    Plane curve;    Galois group;    Automorphism group;   

DOI  :  10.1016/j.jpaa.2020.106525

来源: Elsevier

【 摘 要 】

A criterion for the existence of a birational embedding with two Galois points for quotient curves is presented. We apply our criterion to several curves, for example, some cyclic subcovers of the Giulietti-Korchmaros curve or of the curves constructed by Skabelund. New examples of plane curves with two Galois points are described, as plane models of such quotient curves. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free