Counting numerical semigroups
We are interested in formulas for the number of elements in certain classes of numerical semigroups
math.CO↗
arXiv subjects
Ernst Kunz
Publications and source records attributed to Ernst Kunz.
Weierstraßsemigroups and nodal curves of type p,q
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.
math.AG↗
The space of nodal curves of type p,q with given Weierstraßsemigroup
We continue the investigation of curves of type p,q started in [KKW]. We study the space of such curves and the space of nodal curves with prescribed Weierstraßsemigroup. A necessary and sufficient criterion for a numerical semigroup to be a Weierstraßsemigroup is given. We find a class of Weierstraßsemigroups which apparently has not yet been described in the literature.
math.AG↗