Weierstraßsemigroups and nodal curves of type p,q
arXiv:1106.6338
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.
22 pages, 14 figures