2026-06-27T10:43:46Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/505322023-08-25T10:59:24Zcom_20.500.14352_14col_20.500.14352_15

Castellanos, Angel Castellanos Peñuela, Julio Antonio 2023-06-20T10:33:49Z 2023-06-20T10:33:49Z 2005 0037-1912 10.1007/s00233-004-0143-z https://hdl.handle.net/20.500.14352/50532 http://link.springer.com/content/pdf/10.1007%2Fs00233-004-0143-z http://www.springer.com The semigroup of values of irreducible space curve singularities is the set of intersection multiplicities among hypersurfaces and the given curve. It is an invariant of the singularity, and for plane curves it characterizes the equisingularity type considered by Zariski. For space curve singularities the semigroup of values is a numerical semigroup and it can not be computed by means of the exponents of any Puiseux parametrization, as in the plane case. We obtain an algorithm for calculating the semigroup of values of a space curve singularity, which determines the generators of the semigroup and the valuation ideals associated with the semigroup. We give a Maple version of the algorithm. eng restricted access Algorithm for the Semigroup of a Space Curve Singularity journal article