English

On maximal curves and unramified coverings

Algebraic Geometry 2007-05-23 v1

Abstract

We discuss sufficient conditions for a given curve to be covered by a maximal curve with the covering being unramified; it turns out that the given curve itself will be also maximal. We relate our main result to the question of whether or not a maximal curve is covered by the Hermitian curve. We also provide examples illustrating the results.

Keywords

Cite

@article{arxiv.math/0105126,
  title  = {On maximal curves and unramified coverings},
  author = {Rainer Fuhrmann and Arnaldo Garcia and Fernando Torres},
  journal= {arXiv preprint arXiv:math/0105126},
  year   = {2007}
}

Comments

8 pages, LaTex 2e, available at http://www.ime.unicamp.br/~ftorres