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arXiv · 1106.6343

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

Helmut Knebl·Ernst Kunz·Rolf Waldi
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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.

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Helmut Knebl, Ernst Kunz, Rolf Waldi. 2011-06-30. The space of nodal curves of type p,q with given Weierstraßsemigroup. https://arxiv.org/abs/1106.6343

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