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We prove a non-existence result for special divisors of large dimension on curves over finite fields with many points. We also give a family of examples where such divisors exist under less stringent hypotheses.
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José Felipe Voloch, Special divisors of large dimension on curves with many points over finite fields. Port. Math. 68 (2011), no. 1, pp. 103–107DOI 10.4171/PM/1882