On plane maximal curves

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dc.creatorCossidente, A.
dc.creatorHirschfeld, J. W. P.
dc.creatorKorchmaros, G.
dc.creatorTorres, F.
dc.date1998-02-23
dc.date.accessioned2026-07-07T05:23:56Z
dc.date.available2026-07-07T05:23:56Z
dc.descriptionThe genus of a maximal curve over a finite field with r^2 elements is either g_0=r(r-1)/2 or less than or equal to g_1=(r-1)^2/4. Maximal curves with genus g_0 or g_1 have been characterized up to isomorphism. A natural genus to be studied is g_2=(r-1)(r-3)/8, and for this genus there are two non-isomorphism maximal curves known when r \equiv 3 (mod 4). Here, a maximal curve with genus g_2 and a non-singular plane model is characterized as a Fermat curve of degree (r+1)/2.
dc.description18 pages, Latex2e
dc.identifierhttps://arxiv.org/abs/math/9802113
dc.identifierhttp://arxiv.org/abs/math/9802113
dc.identifierCompositio Math. 121(2) (2000), 163--181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76641
dc.subjectAlgebraic Geometry
dc.subjectPC: 11G20, 11G, 11; SC: 14G15, 14G, 14
dc.titleOn plane maximal curves
dc.typetext

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