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Algebraic curves and maximal arcs
Authors:A. Aguglia  L. Giuzzi  G. Korchmáros
Affiliation:(1) Dipartimento di Matematica, Politecnico di Bari, Via Orabona 4, 70125 Bari, Italy;(2) Dipartimento di Matematica, Università della Basilicata, Contrada Macchia Romana, 85100 Potenza, Italy
Abstract:A lower bound on the minimum degree of the plane algebraic curves containing every point in a large point-set $mathcal{K}$ of the Desarguesian plane PG(2,q) is obtained. The case where $mathcal{K}$ is a maximal (k,n)-arc is considered in greater depth. Research supported by the Italian Ministry MURST, Strutture geometriche, combinatoria e loro applicazioni.
Keywords:Algebraic curves  Maximal arcs
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