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Nets of quadrics and deformations of Σ3〈3〉 singularities

Published online by Cambridge University Press:  24 October 2008

S. A. Edwards  and
C. T. C. Wall
S. A. Edwards
Affiliation:
Department of Pure Mathematics, University of Liverpool
C. T. C. Wall
Affiliation:
Department of Pure Mathematics, University of Liverpool
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Extract

The 2-jet of a Σ3 map-germ f:(3, 0) → (3, 0) determines a net of quadratic maps from 3 to 3; for nets of general type this jet is sufficient for equivalence. The classification of such nets involves a single parameter c. It is shown in [7], also in [3], that the versai unfolding of f is topologically trivial over the parameter space. However, there are 4 connected components of this space of nets. The main object of this paper is to show that the corresponding unfolded maps are of different topological types.

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 1 , January 1989 , pp. 109 - 115
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

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