On a F_q²-maximal curve of genus q(q-3)/6

2001/09/06 by Miriam Abdon, Abdon, Miriam, Fernando Torres +1
Mathematics · #14G10 #Algebraic Geometry (math.AG) #FOS: Mathematics #PC 11g20 #SC 14G05 #math.AG #msc:11g20 #msc:14G05 #msc:14G10

paper · pdf · doi:10.48550/arxiv.math/0109044

11 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 result

arxiv created 2002/08/23 · arxiv updated 2009/11/30

Abstract

We show that a F_q²-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_q²-isomorphism by a plane model of Artin-Schreier type

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