Classifying codimension two multigerms |
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Authors: | R Oset Sinha M A S Ruas R Wik Atique |
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Institution: | 1. Instituto de Ciências Matemáticas e de Computa??o, USP-S?o Carlos, Av. Trabalhador S?o-carlense, 400 - Centro, S?o Carlos, SP, CEP: 13566-590, Brazil
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Abstract: | We generalise the operations of augmentation and concatenations defined in Cooper et al. (Compos Math 131(2):121–160, 2002) 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 \(n\ge p-1\) can be constructed using augmentations and these operations. |
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