Weierstra\ss semigroups and nodal curves of type p,q

(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 f\"ur Informatik; Universit\"at Regensburg

arxiv: 1106.6338 · v1 · pith:OKLNLEFBnew · submitted 2011-06-30 · 🧮 math.AG

Weierstrass semigroups and nodal curves of type p,q

Helmut Knebl (1) , Ernst Kunz (2) , Rolf Waldi (2) ((1) Fakult\"at f\"ur 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 weierstracurvessemigroupstypenodesplanesemigroupchosen

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We study plane curves of type p,q having only nodes as singularities. Every Weierstra\ss semigroup is the Weierstra\ss semigroup of such a curve at its place at infinity for properly chosen p,q. We construct plane curves of type p,q with explicitly given nodes and determine their Weierstra\ss semigroups. Many such semigroups are found.

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Weierstrass semigroups and nodal curves of type p,q

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