On curves over finite fields with many rational points

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study arithmetical and geometrical properties of {\it maximal curves}, that is, curves defined over the finite field $\mathbb F_{q^2}$ whose number of $\mathbb F_{q^2}$-rational points reachs the Hasse-Weil upper bound. Under a hypothesis on non-gaps at rational points we prove that maximal curves are $\mathbb F_{q^2}$-isomorphic to $y^q+y=x^m$ for some $m\in \mathbb Z^+$.
LaTex2e, 10 pages

Keywords

Algebraic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/150123

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9603013
 http://arxiv.org/abs/alg-geom/9603013

Collections

arXiv