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Javier Fernández de Bobadilla, Approximations of Non-Isolated Singularities of Finite Codimension with Respect to an Isolated Complete Intersection Singularity, Bulletin of the London Mathematical Society, Volume 35, Issue 6, November 2003, Pages 812–816, https://doi.org/10.1112/S0024609303002327
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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. 2000 Mathematics Subject Classification 32S30, 32S55 (primary).