On maximal curves
| dc.creator | Fuhrmann, Rainer | |
| dc.creator | Garcia, Arnaldo | |
| dc.creator | Torres, Fernando | |
| dc.date | 1996-10-31 | |
| dc.date.accessioned | 2026-07-07T09:07:02Z | |
| dc.date.available | 2026-07-07T09:07:02Z | |
| dc.description | We study arithmetical and geometrical properties of maximal curves, that is, curves defined over the finite field F_{q^2} whose number of F_{q^2}-rational points reaches the Hasse-Weil upper bound. Under a hypothesis on non-gaps at a rational point, we prove that maximal curves are F_{q^2}-isomorphic to y^q + y = x^m, for some $m \in Z^+$. As a consequence we show that a maximal curve of genus g=(q-1)^2/4 is F_{q^2}-isomorphic to the curve y^q + y = x^{(q+1)/2}. | |
| dc.description | LaTex2e, 17 pages; this article is an improved version of the paper alg-geom/9603013 (by Fuhrmann and Torres) | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9610023 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9610023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150226 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On maximal curves | |
| dc.type | text |