Computation of the Artin-Greenberg function of a planar branch. (Calcul de la fonction d’Artin-Greenberg d’une branche plane.) (French) Zbl 1054.14036

Hickel, Michel

Pac. J. Math. 213, No. 1, 37-47 (2004).

The aim of the paper is the computation of the Artin-Greenberg function of a planar branch. As a corollary it is shown that two planar branches have the same topological type if and only if they have the same multiplicity and the same Artin-Greenberg function.

Reviewer: Christodor-Paul Ionescu (Bucureşti)

MSC:

14H20	Singularities of curves, local rings
13B40	Étale and flat extensions; Henselization; Artin approximation
14H50	Plane and space curves

Keywords:

plane curve germs; topological type