Weierstrass Semigroup, Pure Gaps and Codes on Function Fields

Alonso S. Castellanos, Erik A. R. Mendoza, Luciane Quoos

We determine the Weierstrass semigroup at one and two totally ramified places in a Kummer extension defined by the affine equation $y^m={\prod }_{i=1}^r(x-{\alpha }_i{)}^{{\lambda }_i}$ over $K$, t…