English

On the genus of a cyclic plane curve over a finite field

Algebraic Geometry 2008-03-21 v1

Abstract

Cyclic curves, i.e. curves fixed by a cyclic collineation group, play a central role in the investigation of cyclic arcs in Desarguesian projective planes. In this paper, the genus of a cyclic curve arising from a cyclic k-arc of Singer type is computed.

Keywords

Cite

@article{arxiv.0803.2961,
  title  = {On the genus of a cyclic plane curve over a finite field},
  author = {Fabio Pasticci},
  journal= {arXiv preprint arXiv:0803.2961},
  year   = {2008}
}