Rational curves with many rational points over a finite field

Mathematics – Algebraic Geometry

Scientific paper

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15pages, presented at AGCT13

Scientific paper

We study a particular plane curve over a finite field whose normalization is
of genus 0. The number of rational points of this curve achieves the
Aubry-Perret bound for rational curves. The configuration of its rational
points and a generalization of the curve are also presented.

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