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A birational embedding with two Galois points for quotient curves. (English) Zbl 1443.14037

Summary: 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. New examples of plane curves with two Galois points are described, as plane models of such quotient curves.

MSC:

14H50 Plane and space curves
14H05 Algebraic functions and function fields in algebraic geometry
14H37 Automorphisms of curves
11G20 Curves over finite and local fields
11R58 Arithmetic theory of algebraic function fields
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