Note on the degree of Cº-sufficiency of plane curves

  1. Costa González, Antonio Félix
Zeitschrift:
Publicacions matematiques

ISSN: 0214-1493

Datum der Publikation: 1989

Ausgabe: 33

Nummer: 1

Seiten: 37-46

Art: Artikel

DOI: 10.5565/PUBLMAT_33189_03 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Andere Publikationen in: Publicacions matematiques

Zusammenfassung

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.