The boundary of the Milnor fibre of certain non-isolated singularities

Abstract

Let $\Phi :({\mathbb{C}}^2,0)\to ({\mathbb{C}}^3,0)$ be a finitely determined complex analytic germ and let $(\{f=0\},0)$ be the reduced equation of its image, a non-isolated hypersurface singularity. We provide the plumbing graph of the boundary of the Milnor fibre of $f$ from the double-point-geometry of $\Phi$.