Galois lines for the Giulietti--Korchm\'{a}ros curve

Satoru Fukasawa; Kazuki Higashine

Galois lines for the Giulietti--Korchm\'{a}ros curve

Algebraic Geometry 2019-05-08 v1

Authors: Satoru Fukasawa , Kazuki Higashine

Abstract

We describe the arrangement of all Galois lines for the Giulietti--Korchm\'{a}ros 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.

Keywords

galois lines giulietti-korchmáros curve projective 3-space galois points plane model

Cite

@article{arxiv.1804.03858,
  title  = {Galois lines for the Giulietti--Korchm\'{a}ros curve},
  author = {Satoru Fukasawa and Kazuki Higashine},
  journal= {arXiv preprint arXiv:1804.03858},
  year   = {2019}
}

Comments

8 pages

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