Coverings of curves with asymptotically many rational points

Details Coverings of curves with asymptotically many rational points Coverings of curves with asymptotically many rational points

1999-08-28

arxiv.org/abs/math/9908152v1

Mathematics

Number Theory

19 pages

Scientific paper

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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