On maximal curves in characteristic two
| dc.creator | Abdon, Miriam | |
| dc.creator | Torres, Fernando | |
| dc.date | 1998-11-13 | |
| dc.date.accessioned | 2026-07-07T05:26:52Z | |
| dc.date.available | 2026-07-07T05:26:52Z | |
| dc.description | The genus g of an F_{q^2}-maximal curve satisfies g=g_1:=q(q-1)/2 or g\le g_2:= [(q-1)^2/4]. Previously, such curves with g=g_1 or g=g_2, q odd, have been characterized up to isomorphism. Here it is shown that an F_{q^2}-maximal curve with genus g_2, q even, is F_{q^2}-isomorphic to the nonsingular model of the plane curve \sum_{i=1}^{t}y^{q/2^i}=x^{q+1}, q=2^t, provided that q/2 is a Weierstrass non-gap at some point of the curve. | |
| dc.description | 14 pages, LaTex2e | |
| dc.identifier | https://arxiv.org/abs/math/9811091 | |
| dc.identifier | http://arxiv.org/abs/math/9811091 | |
| dc.identifier | Manuscripta Math. 99 (1999), 39--53 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77715 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | PC: 11G20, 11G, 11; SC: 14G15, 14G, 14 | |
| dc.title | On maximal curves in characteristic two | |
| dc.type | text |