Coverings of curves with asymptotically many rational points
classification
🧮 math.NT
math.AG
keywords
numberpointsasymptoticallyboundsclassconstructingcoveringscurve
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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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