Bounding the number of <em>F_q</em>-rational places in algebraic function fields using Weierstrass semigroups

We present a new bound on the number of Fq-rational places in an algebraic function field. It uses information about the generators of the Weierstrass semigroup related to a rational place. As we demonstrate, the bound has implications to the theory of towers of function fields. Udgivelsesdato: JUNWe present a new bound on the number of Fq-rational places in an algebraic function field. It uses information about the generators of the Weierstrass semigroup related to a rational place. As we demonstrate, the bound has implications to the theory of towers of function fields