Polar Multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C-n to C-3 n >= 3
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World Scientific Publ Co Pte Ltd
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In this article we show that for corank 1, quasi-homogeneous and finitely determined map germs f : (C-n, 0)-> (C-3, 0), n >= 3 one can obtain formulae for the polar multiplicities defined on the following stable types of f, f(Delta(f) and f(Sigma(n-2,1)(f), in terms of the weights and degrees of f. As a consequence we show how to compute the Euler obstruction of such stable types, also in terms of the weights and degrees of f.
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polar multiplicities, quasi-homogeneous map germs, Euler obstruction of stable types
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Inglês
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Singularities In Geometry and Topology, 2005. Singapore: World Scientific Publ Co Pte Ltd, p. 723-748, 2007.
