# Note on the degree of Cº-sufficiency of plane curves.

Publicacions Matemàtiques (1989)

- Volume: 33, Issue: 1, page 37-46
- ISSN: 0214-1493

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topCosta, Antonio F.. "Note on the degree of Cº-sufficiency of plane curves.." Publicacions Matemàtiques 33.1 (1989): 37-46. <http://eudml.org/doc/41065>.

@article{Costa1989,

abstract = {Let f be a germ of plane curve, we define the δ-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 δ-degree of sufficiency in terms of link invariants of plane curves singularities and, as a consequence of this formula, we obtain that the δ-degree of sufficiency is equal to the Cº-degree of sufficiency.},

author = {Costa, Antonio F.},

journal = {Publicacions Matemàtiques},

keywords = {Curvas planas; Invariantes; Suficiencia; Isotopía; delta-degree of sufficiency; germ of plane curves; delta-equivalent; C sub 0 degree of sufficiency},

language = {eng},

number = {1},

pages = {37-46},

title = {Note on the degree of Cº-sufficiency of plane curves.},

url = {http://eudml.org/doc/41065},

volume = {33},

year = {1989},

}

TY - JOUR

AU - Costa, Antonio F.

TI - Note on the degree of Cº-sufficiency of plane curves.

JO - Publicacions Matemàtiques

PY - 1989

VL - 33

IS - 1

SP - 37

EP - 46

AB - Let f be a germ of plane curve, we define the δ-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 δ-degree of sufficiency in terms of link invariants of plane curves singularities and, as a consequence of this formula, we obtain that the δ-degree of sufficiency is equal to the Cº-degree of sufficiency.

LA - eng

KW - Curvas planas; Invariantes; Suficiencia; Isotopía; delta-degree of sufficiency; germ of plane curves; delta-equivalent; C sub 0 degree of sufficiency

UR - http://eudml.org/doc/41065

ER -

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