Monodromy of the image of the mapping \(\mathbb{C}^ 2\to\mathbb{C}^ 3\) (Q1178100)

It is known that the image of germs of a mapping \(\mathbb{C}^ 2\to\mathbb{C}^ 3\) under a stable perturbation is analogous to the Milnor sheaf of functions with isolated critical points. In this paper the author continues to develop this analogue and determines vanishing cycles on the image which is considered as a manifold with non-isolated singularities, and index of intersections with vanishing cycle. The monodromy of the stable image is also described.