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Coverings of curves with asymptotically many rational points

Wen-Ching Li·Hiren Maharaj
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Abstract

The number A(q) is the upper limit of the ratio of the maximum number of points of a curve defined over $\Fq$ to the genus. By constructing class field towers with good parameters we present improvements of lower bounds of A(q) for q an odd power of a prime.

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Wen-Ching Li, Hiren Maharaj. 1999-08-28. Coverings of curves with asymptotically many rational points. https://arxiv.org/abs/math/9908152

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