English

Parametrizing Arf numerical semigroups

Commutative Algebra 2016-08-08 v2 Algebraic Geometry Combinatorics

Abstract

We present procedures to calculate the set of Arf numerical semigroups with given genus, given conductor and given genus and conductor. We characterize the Kunz coordinates of an Arf numerical semigroup. We also describe Arf numerical semigroups with fixed Frobenius number and multiplicity up to six.

Keywords

Cite

@article{arxiv.1604.08929,
  title  = {Parametrizing Arf numerical semigroups},
  author = {P. A. García-Sánchez and B. A. Heredia and H. İ. Karakaş and J. C. Rosales},
  journal= {arXiv preprint arXiv:1604.08929},
  year   = {2016}
}
R2 v1 2026-06-22T13:44:53.907Z