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arXiv:0807.3662 [math.AG]AbstractReferencesReviewsResources

Homotopy Type of Disentanglements of Multi-germs

Kevin Houston

Published 2008-07-23Version 1

For a complex analytic map f from n-space to p-space with n<p and with an isolated instability at the origin, the disentanglement of f is a local stabilization of f that is analogous to the Milnor fibre for functions. For mono-germs it is known that the disentanglement is a wedge of spheres of possibly varying dimensions. In this paper we give a condition that allows us to deduce that the same is true for a large class of multi-germs.

Comments: 8 pages
Categories: math.AG, math.CV
Subjects: 14B07, 32S05, 32S30
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