Note on the degree of Cº-sufficiency of plane curves
ISSN: 0214-1493
Year of publication: 1989
Volume: 33
Issue: 1
Pages: 37-46
Type: Article
More publications in: Publicacions matematiques
Abstract
Let f be a germ of plane curve, we define the d-degree of sufficiency of f to be the smallest integer r such that for anuy germ g such that j(r) f = j(r) g then there is a set of disjoint annuli in S3 whose boundaries consist of a component of the link of f and a component of the link of g. We establish a formula for the d-degree of sufficiency in terms of link invariants of plane curves singularities and, as a consequence of this formula, we obtain that the d-degree of sufficiency is equal to the Cº-degree of sufficiency.