On the classification of complex multi-germs of corank one and codimension one

Abstract

Corank one multi-germs $f:(\mathbf{C}^n,S)\to (\mathbf{C}^p,0)$, $n<p$, of $\mathcal A_e$-codimension one are classified. The mono-germs are given in an explicit normal form and the multi-germs are described in terms of augmentations, and concatenations of mono-germs and a special bi-germ.