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Galois lines for the Giulietti–Korchmáros curve

2019; Elsevier BV; Volume: 57; Linguagem: Inglês

10.1016/j.ffa.2019.02.009

1090-2465

Satoru Fukasawa, Kazuki Higashine,

Advanced Algebra and Geometry

We describe the arrangement of all Galois lines for the Giulietti–Korchmáros curve in the projective 3-space. As an application, we determine the set of all Galois points for a plane model of the GK curve. This curve possesses many Galois points.