English

Galois points for double-Frobenius nonclassical curves

Algebraic Geometry 2019-10-08 v1

Abstract

We determine the distribution of Galois points for plane curves over a finite field of qq elements, which are Frobenius nonclassical for different powers of qq. This family is an important class of plane curves with many remarkable properties. It contains the Dickson-Guralnick-Zieve curve, which has been recently studied by Giulietti, Korchmaros, and Timpanella from several points of view. A problem posed by the second author in the theory of Galois points is modified.

Keywords

Cite

@article{arxiv.1807.11663,
  title  = {Galois points for double-Frobenius nonclassical curves},
  author = {Herivelto Borges and Satoru Fukasawa},
  journal= {arXiv preprint arXiv:1807.11663},
  year   = {2019}
}

Comments

8 pages

R2 v1 2026-06-23T03:19:57.629Z