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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

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.

MSC:

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