A note on the genus of certain curves over finite fields
| dc.creator | Furhmann, Rainer | |
| dc.creator | Torres, Fernando | |
| dc.date | 1995-06-02 | |
| dc.date | 1995-10-21 | |
| dc.date.accessioned | 2026-07-07T08:57:58Z | |
| dc.date.available | 2026-07-07T08:57:58Z | |
| dc.description | We prove the following result which was conjectured by Stichtenoth and Xing: let $g$ be the genus of a projective, irreducible non-singular curve over the finite field $\Bbb F_{q^2}$ and whose number of $\Bbb F_{q^2}$-rational points attains the Hasse-Weil bound; then either $4g\le (q-1)^2$ or $2g=(q-1)q$. | |
| dc.description | 4 pages, Latex. Reason for resubmission: The proof of the theorem in the previous version of this paper was incomplete | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9506003 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9506003 | |
| dc.identifier | Manuscripta Math. 89 (1996) 103--106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147141 | |
| dc.subject | Algebraic Geometry | |
| dc.title | A note on the genus of certain curves over finite fields | |
| dc.type | text |