Coverings of curves with asymptotically many rational points

1999/08/28 by Wen-Ching Li, Li, Wen-Ching, Hiren Maharaj +1
Mathematics · #14H05 #94B27 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:14H05 #msc:94B27

paper · pdf · doi:10.48550/arxiv.math/9908152

19 pages

arxiv created 1999/08/28 · arxiv updated 2009/11/30

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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