Disentanglements of corank 2 map-germs: two examples

Abstract

We compute the homology of the multiple point spaces of stable perturbations of two germs $({\mathbb{C}}^n,0)\to ({\mathbb{C}}^{n+1},0)$ of corank 2, one with $n=3$ and one with $n=5$. We use a variety of techniques based on the image computing spectral sequence ICSS. We provide a reasonably detailed introduction to the ICSS, including some low-dimensional examples of its use. The paper is partly expository.

22 pages, 1 figure