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

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

2011-06-30

arxiv.org/abs/1106.6343v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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

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