On maximal curves and unramified coverings
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 2001
- DOI:
- 10.48550/arXiv.math/0105126
- arXiv:
- arXiv:math/0105126
- Bibcode:
- 2001math......5126F
- Keywords:
-
- Algebraic Geometry;
- 11G20;
- 14G05;
- 14G15
- E-Print:
- 8 pages, LaTex 2e, available at http://www.ime.unicamp.br/~ftorres