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arXiv · 1106.6338

Weierstraßsemigroups and nodal curves of type p,q

Helmut Knebl·Ernst Kunz·Rolf Waldi
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Abstract

We study plane curves of type p,q having only nodes as singularities. Every Weierstraßsemigroup is the Weierstraßsemigroup 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 Weierstraßsemigroups. Many such semigroups are found.

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Helmut Knebl, Ernst Kunz, Rolf Waldi. 2011-06-30. Weierstraßsemigroups and nodal curves of type p,q. https://arxiv.org/abs/1106.6338

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