On the number of rational points of a plane algebraic curve

2002/11/07 by Massimo Giulietti, Giulietti, Massimo · 1 citation
Mathematics · #11G #14G #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G #msc:14G

paper · pdf · doi:10.48550/arxiv.math/0211128

Latex2e, 8 pages

arxiv created 2002/11/07 · arxiv updated 2009/11/30

Abstract

The number of rational points of a plane non-singular algebraic curve X defined over a finite field is computed, provided that the generic point of X is not an inflexion and that X is Frobenius non-classical with respect to conics.

Cited by

• Curves on Frobenius nonclassical loci of hypersurfaces

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