2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62156We show that a F_{q^2}-maximal curve of genus q(q-3)/6 in characteristic three is either a non-reflexive space curve of degree q+1, or it is uniquely determined up to F_{q^2}-isomorphism by a plane model of Artin-Schreier type11 pages, LaTeX, available at http://www.ime.unicamp.br/~ftorres/articles.html; We correct several misprints: one of them was the equation of the curve whose unicity was claimed; we also give a more detailed proof of the main resultAlgebraic GeometryPC 11g20, SC 14G05, 14G10text