Examples of finitely determined map-germs of corank 3 supporting Mond's $\mu \ge \tau$-type conjecture

Abstract

We give the first examples of finitely determined map-germs of corank 3 defined from 3-space to 4-space. We show that they support Mond's conjecture which states that the image Milnor number is greater than or equal to ${\mathcal{A}}_e$-codimension for a finitely determined map-germ from $n$-space to $(n+1)$-space (with equality for weighted homogeneous case).

arXiv comment9 pages. v2: new references and background information added