Hickel, Michel 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 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) Cited in 1 ReviewCited in 4 Documents 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 PDF BibTeX XML Cite \textit{M. Hickel}, Pac. J. Math. 213, No. 1, 37--47 (2004; Zbl 1054.14036) Full Text: DOI OpenURL