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arXiv · 1411.7609

On the topology of families of isolated singularities

Aurelio Menegon Neto
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Abstract

We study the topology of analytic families of $n$-dimensional complex hypersurfaces having an isolated singularity at the origin. We prove that such a family is $\mu$-constant if and only if it admits an uniform Milnor radius, which happens if and only if it has constant embedded topological type. In particular, this solves the $\mu$-constant problem, formulated by D.T. L\^e and C.P. Ramanujam in 1976.

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Aurelio Menegon Neto. 2014-11-27. On the topology of families of isolated singularities. https://arxiv.org/abs/1411.7609

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