English

On a F_{q^2}-maximal curve of genus q(q-3)/6

Algebraic Geometry 2007-05-23 v2

Abstract

We show that a F_{q^2}-maximal curve of genus q(q-3)/6 in characteristic three is either a non-reflexive space curve of degree q+1, or it is uniquely determined up to F_{q^2}-isomorphism by a plane model of Artin-Schreier type

Keywords

Cite

@article{arxiv.math/0109044,
  title  = {On a F_{q^2}-maximal curve of genus q(q-3)/6},
  author = {Miriam Abdon and Fernando Torres},
  journal= {arXiv preprint arXiv:math/0109044},
  year   = {2007}
}

Comments

11 pages, LaTeX, available at http://www.ime.unicamp.br/~ftorres/articles.html; We correct several misprints: one of them was the equation of the curve whose unicity was claimed; we also give a more detailed proof of the main result