A birational embedding with two Galois points for certain Artin–Schreier curves

Abstract

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-Korchmáros curve or of the curves constructed by Skabelund. They are new examples of plane curves with two Galois points.