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Finitely determined singularities of ruled surfaces in 3

Published online by Cambridge University Press:  22 May 2009

R. MARTINS  and
J. J. NUÑO–BALLESTEROS
R. MARTINS
Affiliation:
Universidade Estadual de Maringá, Av. Colombo, 5.790 Jd. Universitário, Maringá – Paraná – CEP 87020-900, Brazil. e-mail: [email protected]
J. J. NUÑO–BALLESTEROS
Affiliation:
Departament de Geometria i Topologia, Universitat de València, Campus de Burjassot, 46100 Burjassot, Spain. e-mail: [email protected]
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Abstract

We study local singularities of ruled surfaces in 3. We show that any map germ f : (2, 0) → (3, 0) with a simple singularity is -equivalent to a ruled surface. Moreover, we give a topological classification of -finitely determined singularities of ruled surfaces and show that there are just eleven topological classes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 147 , Issue 3 , November 2009 , pp. 701 - 733
Copyright
Copyright © Cambridge Philosophical Society 2009

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References

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