Classifying codimension 2 multigerms

Abstract

We generalise the operations of augmentation and concatenations in order to obtain multigerms of analytic (or smooth) maps $({\mathbb{K}}^n,S)\to ({\mathbb{K}}^p,0)$ with $\mathbb{K}=\mathbb{C}$ or $\mathbb{R}$ from monogerms and some special multigerms. We then prove that any corank 1 codimension 2 multigerm in Mather's nice dimensions $(n,p)$ with $n\ge p-1$ can be constructed using augmentations and these operations.

34 pages, 2 figures