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Counting isolated singularities in germs of applications ${\C^n,0\to \C^p,0}$, n<p

V. H. Jorge Perez
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Abstract

In this paper we give a formula for counting the number of isolated stable singularities of a stable perturbation of corank 1 germs $f:\C^n,0\to \C^p,0$ with $n<p$ that appear in the image $f(\C^n).$ We also define a set of ${\cal A}$-invariants and show that their finiteness is a necessary and sufficient condition for the ${\cal A}$-finiteness of the germ $f.$

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V. H. Jorge Perez. 2004-06-24. Counting isolated singularities in germs of applications ${\C^n,0\to \C^p,0}$, n<p. https://arxiv.org/abs/math/0406500

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