The space of nodal curves of type p, q with given Weierstraß semigroup

Zusammenfassung

We continue the investigation of curves of type p, q started in Knebl et al. (J Algebra 348: 315-335, 2011). We study the space of such curves and the space of nodal curves with prescribed Weierstrass semigroup. A necessary and sufficient criterion for a numerical semigroup to be a Weierstrass semigroup is given. Using this criterion we find a class of Weierstrass semigroups which apparently has not yet been described in the literature.