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

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 Weierstra semigroup. A necessary and sufficient criterion for a numerical semigroup to be a Weierstra semigroup is given. We find a class of Weierstra semigroups which apparently has not yet been described in the literature.

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