In this work, we give parametrizations in terms of the Kunz coordinates of numerical semigroups with multiplicity up to 5. We also obtain parametrizations of MED semigroups, symmetric and pseudo-symmetric numerical semigroups ...

The aim of this work is to exhibit the relationship between the Arf closure of a numerical semigroup S and its Lipman semigroup L(S). This relationship is then used to give direct proofs of some characterizations of Arf ...