2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79021The 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.19 pagesNumber TheoryAlgebraic Geometry14H05; 94B27Coverings of curves with asymptotically many rational pointstext