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arXiv · 1404.3149

Classifying codimension 2 multigerms

R. Oset Sinha·M. A. S. Ruas·R. Wik Atique
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Abstract

We generalise the operations of augmentation and concatenations in order to obtain multigerms of analytic (or smooth) maps $(\mathbb K^n,S)\rightarrow(\mathbb K^p,0)$ 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 $n\geq p-1$ can be constructed using augmentations and these operations.

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R. Oset Sinha, M. A. S. Ruas, R. Wik Atique. 2014-04-11. Classifying codimension 2 multigerms. https://arxiv.org/abs/1404.3149

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