Note on the degree of Cº-sufficiency of plane curves

Autores: Antonio Félix Costa González
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 33, Nº 1, 1989, págs. 37-46
Idioma: inglés
DOI: 10.5565/publmat_33189_03
Títulos paralelos:
- Nota sobre el grado de Cº-suficiencia de curvas planas
Enlaces
- Texto completo
Resumen
- 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.