The Dimension of the Moduli Space of Pointed Algebraic Curves of Low Genus

Abstract

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 determine the dimension for all semigroups of genus seven.

arXiv comment19 pages

References in corpus (1)

• Upper bounds for the dimension of moduli spaces of curves with symmetric Weierstrass semigroups