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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  and
M. A. S. RUAS
J. H. RIEGER
Affiliation:
Institut für Algebra und Geometrie, Universität Halle, D-06099 Halle (Saale), Germany. e-mail: rieger@mathematik.uni-halle.de
M. A. S. RUAS
Affiliation:
ICMC, Universidade de São Paulo, 13560 São Carlos, SP, Brazil. e-mail: maasruas@icmc.sc.usp.br
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 139 , Issue 2 , September 2005 , pp. 333 - 349
Copyright
2005 Cambridge Philosophical Society

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