Remarks on plane maximal curves
| dc.creator | Aguglia, Angela | |
| dc.creator | Korchmaros, Gabor | |
| dc.creator | Torres, Fernando | |
| dc.date | 2000-03-28 | |
| dc.date.accessioned | 2026-07-07T04:34:28Z | |
| dc.date.available | 2026-07-07T04:34:28Z | |
| dc.description | Some new results on plane F_{q^2}-maximal curves are stated and proved. It is known that the degree d of such curves is upper bounded by q+1 and that d=q+1 if and only if the curve is F_{q^2}-isomorphic to the Hermitian. We show that d\le q+1 can be improved to d\le (q+2)/2 apart from the case d=q+1 or q\le 5. This upper bound turns out to be sharp for q odd. We also study the maximality of Hurwitz curves of degree n+1. We show that they are F_{q^2}-maximal if and only if (q+1) divides (n^2-n+1). Such a criterion is extended to a wider family of curves. | |
| dc.description | 14 pages, LaTex2e | |
| dc.identifier | https://arxiv.org/abs/math/0003179 | |
| dc.identifier | http://arxiv.org/abs/math/0003179 | |
| dc.identifier | Acta Arith. 98(2) (2001), 165--179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58915 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | PC: 11G20, 11G, 11; SC: 14G15, 14G, 14 | |
| dc.title | Remarks on plane maximal curves | |
| dc.type | text |