Classifying codimension 2 multigerms

2014/04/11 by Sinha, R. Oset, Ruas, M. A. S., Atique, R. Wik
#32S05 #32S70 #58K40 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1404.3149

Abstract

We generalise the operations of augmentation and concatenations in order to obtain multigerms of analytic (or smooth) maps (\mathbb Kⁿ,S)→(\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≥ p-1 can be constructed using augmentations and these operations.

Related

• Vanishing topology of codimension 1 multi-germs over R and C
• Vanishing Topology of Codimension 1 Multi-germs over \Bbb R and \Bbb C
• Simplicity of augmentations of codimension 1 germs and by Morse functions
• Special arrangements of lines: codimension two ACM varieties in \mathbb P¹×\mathbb P¹×\mathbb P¹
• Strata of discriminantal arrangements