The dimension of the moduli space of pointed algebraic curves of low genus

Artikel i vetenskaplig tidskrift, 2023

We explicitly compute the moduli space pointed algebraic curves with a given numerical semigroup as Weierstrass semigroup for many cases of genus at most seven and when possible describe the structure as cone over an explicitly given variety. We determine the dimension of the moduli space for all semigroups of genus seven.