paper

The space of nodal curves of type p,q with given Weierstraßsemigroup

arXiv:1106.6343

Abstract

We continue the investigation of curves of type p,q started in [KKW]. We study the space of such curves and the space of nodal curves with prescribed Weierstraßsemigroup. A necessary and sufficient criterion for a numerical semigroup to be a Weierstraßsemigroup is given. We find a class of Weierstraßsemigroups which apparently has not yet been described in the literature.

15 pages