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

(2) Fakult\"at f\"ur Mathematik; Ernst Kunz (2); Georg-Simon-Ohm-Hochschule N\"urnberg; Germany; Germany); Helmut Knebl (1); Rolf Waldi (2) ((1) Fakult\"at Informatik; Universit\"at Regensburg

arxiv: 1106.6343 · v1 · pith:5SCHCN7Znew · submitted 2011-06-30 · 🧮 math.AG

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

Helmut Knebl (1) , Ernst Kunz (2) , Rolf Waldi (2) ((1) Fakult\"at Informatik , Georg-Simon-Ohm-Hochschule N\"urnberg , Germany , (2) Fakult\"at f\"ur Mathematik , Universit\"at Regensburg , Germany) This is my paper

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keywords curvessemigroupweierstraspacegivennodaltypeapparently

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

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