English

Algebraic curves admitting non-collinear Galois points

Algebraic Geometry 2020-04-08 v2

Abstract

A criterion for the existence of a birational embedding into a projective plane with non-collinear Galois points for algebraic curves is presented. A new example of a plane curve with non-collinear Galois points as an application is described. Furthermore, a new characterization of the Fermat curve in terms of non-collinear Galois points is presented.

Keywords

Cite

@article{arxiv.1908.00259,
  title  = {Algebraic curves admitting non-collinear Galois points},
  author = {Satoru Fukasawa},
  journal= {arXiv preprint arXiv:1908.00259},
  year   = {2020}
}

Comments

6 pages. Theorem 4 and its proof are revised

R2 v1 2026-06-23T10:37:01.401Z