On generalized Weierstrass Semigroups in arbitrary Kummer extensions of ${\mathbb{F}}_q(x)$

Alonso S. Castellanos, Erik A. R. Mendoza, Guilherme Tizziotti

In this work, we investigate generalized Weierstrass semigroups in arbitrary Kummer extensions of function field ${\mathbb{F}}_q(x)$. We analyze their structure and properties, with…