A birational embedding with two Galois points for quotient curves

A birational embedding with two Galois points for quotient curves

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...

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Veröffentlicht in:Journal of pure and applied algebra 2021-03, Vol.225 (3), p.106525, Article 106525
Hauptverfasser: Fukasawa, Satoru, Higashine, Kazuki
Format: Artikel
Sprache:eng
Schlagworte:
Automorphism group
Galois group
Galois point
Plane curve
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Zusammenfassung: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.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2020.106525