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Ars Combinatoria

  • Research article

On Dense Sets Related to Plane Algebraic Curves

Massimo Giulietti1, Fernando Torres2,3
1DIPARTIMENTO Dt MATEMATICA E INFORMATICA, UNIVERSITA DEGLI STUDI DI PERUGIA, 06123 PeRuciA, ITALY
2IMECC-UNICAMP, Cx. P. 6065, CAMPINAS, 13083-970-SP, BRAZIL
3CURRENT ADDRESS: DEPARTAMENTO DE ALGEBRA, GEOMETRIA Y ToPOLoGia, FACUL- TAD DE CIENCIAS – UNIVERSIDAD DE VALLADOLID, C/ PRADO DE LA MAGDALENA S/N 47005, VALLADOLID (SPAIN)
  • Published: 31/07/2004

Abstract

We show that certain subsets of \(\mathbf{F}_q\)-rational points of the curve \(XZ^{n-1} = Y^n\) are dense sets in \(\mathbf{P}^2(\mathbf{F}_q)\).

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Citation
Massimo Giulietti, Fernando Torres. On Dense Sets Related to Plane Algebraic Curves[J], Ars Combinatoria, Volume 072. 33-40. .