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arxiv: math/0109044 · v2 · submitted 2001-09-06 · 🧮 math.AG

On a F_(q²)-maximal curve of genus q(q-3)/6

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keywords curvegenusmaximalartin-schreiercharacteristicdegreedeterminedeither
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We 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 type

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