Algorithm for the Semigroup of a Space Curve Singularity

The semigroup of values of irreducible space curve singularitiesis the set of intersection multiplicities among hypersurfacesand the given curve. It is an invariant of the singularity, andfor plane curves it characterizes the equisingularity typeconsidered by Zariski. For space curve singularities the semigroupof values is a numerical semigroup and it can not be computed bymeans of the exponents of any Puiseux parametrization, as in theplane case. We obtain an algorithm for calculating the semigroupof values of a space curve singularity, which determines thegenerators of the semigroup and the valuation ideals associatedwith the semigroup. We give a Maple version of the algorithm.