Topology of hypersurface singularities with 3-dimensional critical set

Abstract

In this paper, we prove that the Milnor fibre of a singularity over an isolated complete intersection singularity (i.c.i.s.) of dimension 3 has the homotopy type of a bouquet of spheres, provided that the function that defines the singularity has finite extended codimension with respect to the ideal that defines the i.c.i.s.