Weierstraßsemigroups and nodal curves of type p,q

Details Weierstraßsemigroups and nodal curves of type p,q Weierstraßsemigroups and nodal curves of type p,q

2011-06-30

arxiv.org/abs/1106.6338v1

Mathematics

Algebraic Geometry

22 pages, 14 figures

Scientific paper

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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