English

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

Algebraic Geometry 2011-07-01 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1106.6338,
  title  = {Weierstra\ss semigroups and nodal curves of type p,q},
  author = {Helmut Knebl and Ernst Kunz and Rolf Waldi},
  journal= {arXiv preprint arXiv:1106.6338},
  year   = {2011}
}

Comments

22 pages, 14 figures