Completeness of cubic curves in PG(2, q), q <= 81
classification
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keywords
completenesscubiccurvesalgebraiccharacteristiccurvedetermineenough
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Theoretical results are known about the completeness of a planar algebraic cubic curve as a (n,3)-arc in PG(2,q). They hold for q big enough and sometimes have restriction on the characteristic and on the value of the j-invariant. We determine the completeness of all cubic curves for q <= 81.
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