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APPROXIMATIONS OF NON-ISOLATED SINGULARITIES OF FINITE CODIMENSION WITH RESPECT TO AN ISOLATED COMPLETE INTERSECTION SINGULARITY

Published online by Cambridge University Press:  08 October 2003

JAVIER FERNÁNDEZ DE BOBADILLA
JAVIER FERNÁNDEZ DE BOBADILLA
Affiliation:
Departamento de Matematicas Fundamentales, UNED, c/Senda del Rey 9, 28040 Madrid, Spain javier@mat.uned.es
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Abstract

It is shown that a function whose critical locus is an isolated complete intersection singularity of arbitrary dimension, and that has finite codimension (in the sense of R. Pellikaan, Proc. London Math. Soc. (3) 57 (1998) 357–382) with respect to the ideal defining the isolated complete intersection singularity, can be approximated by a function whose critical locus is a finite number of Morse points together with the Milnor fibre of the isolated complete intersection singularity, having there well-known types of singularities.

Keywords

32S3032S55 (primary)

Information

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 6 , November 2003 , pp. 812 - 816
Copyright
© The London Mathematical Society 2003

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