Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from Cn to C3, n > 3

摘要

In this article we show that for corank 1, quasi-homogeneous and finitely determined map germs f : (Cn,0) ->^s(C3,0), n > 3 one can obtain formulae for the polar multiplicities defined on the following stable types off, f(A(f) and /(Sn~2ll(f), in terms of the weights and degrees off. As a consequence we show how to compute the Euler obstruction of such stable types, also in terms of the weights and degrees of.