Topology of hypersurface singularities with 3-dimensional critical set

Details Topology of hypersurface singularities with 3-dimensional critical set Topology of hypersurface singularities with 3-dimensional critical set

2010-02-19

arxiv.org/abs/1002.3774v1

Mathematics

Algebraic Geometry

40 pages, 3 figures

Scientific paper

In this paper, we prove that the Milnor fibre of a singularity over an
i.c.i.s. of dimension 3 has the homotopy type of a bouquet of spheres, provided
that the function that defines the singularity has finite extended codimension
with respect to the ideal that defines the i.c.i.s.

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