Algorithm for the semigroup of a space curve singularity (Q2505013)

The importance of the study of curve singularities is constantly increasing since it is useful for a broad spectrum of mathematical developments as arc spaces, resolution of singularities, base points of linear systems, valuation theory or coding theory. With the help of the interesting recent book [Curve singularities, an algebraic and geometric approach, Hermann (2005; Zbl 1092.14034)] by the second author and \textit{A. Campillo}, the authors provide an algorithm for computing the semigroup of a space irreducible algebroid curve. The authors also show that this type of curves present remarkable differences with respect to the plane case and give a Maple version of that algorithm.