On Weierstrass semigroups of maximal Fermat function fields

Peter Beelen, Maria Montanucci, Marie Frank vom Braucke

In this article we explicitly determine the Weierstrass semigroup at any place of some ${\mathbb{F}}_{q^2}$-maximal Fermat function fields ${\mathcal{F}}_m$, namely for $m=(q+1)/2$ and…