We propose a method for realizing numerical semigroups as Weierstrass semigroups. Given a specific numerical semigroup as input, if it is a Weierstrass semigroup, we obtain as the output the explicit equations of a canonically embedded nonsingular curve whose Weierstrass semigroup at a distinct point is this numerical semigroup. To illustrate the method we realize the numerical semigroup as a Weierstrass semigroup.

Weierstrass semigroups.