Invariant of map germ from C^2 to C^3 / Invariantes de germes de aplicações de C^2 em C^3

AUTOR(ES)
DATA DE PUBLICAÇÃO

2005

RESUMO

Let f:(C^2,0) to (C^3,0) be a holomorphic map-germ with corank 1 and f_t a stable perturbation of f. The singular points of f_t are either cross-caps, double points or triple points. The number of cross-caps and the number of triple points of f_t and the Milnor number of the double points curve of f_t are invariants of the germs f. In this work we study formulas to get these invariants and in the case of quasi-homogeneous germs we relate these invariants with the A_e-codimension of f.

ASSUNTO(S)

invariant pontos duplos triple point milnor number double point cross cap pontos triplos germ invariantes número de milnor germes cross cap

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