On the maximum number of rational points on singular curves over finite fields
classification
🧮 math.AG
keywords
pointsrationalconstructioncurvesfieldsfinitegenusmaximum
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We give a construction of singular curves with many rational points over finite fields. This construction enables us to prove some results on the maximum number of rational points on an absolutely irreducible projective algebraic curve defined over Fq of geometric genus g and arithmetic genus $\pi$.
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