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M-deformations of $\cal {A}$-simple $\Sigma^{n-p+1}$-germs from $\bb {R}^n$ to $\bb {R}^p$, $n\ge p$

Published online by Cambridge University Press:  05 September 2005

J. H. RIEGER
Affiliation:
Institut für Algebra und Geometrie, Universität Halle, D-06099 Halle (Saale), Germany. e-mail: [email protected]
M. A. S. RUAS
Affiliation:
ICMC, Universidade de São Paulo, 13560 São Carlos, SP, Brazil. e-mail: [email protected]

Abstract

All $\cal {A}$-simple singularities of map-germs from $\bb {R}^n$ to $\bb {R}^p$, where $n\ge p$, of minimal corank (i.e. of corank $n-p+1$) have an M-deformation, that is a deformation in which the maximal numbers of isolated stable singular points are simultaneously present in the discriminant.

Type
Research Article
Copyright
2005 Cambridge Philosophical Society

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