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

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