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arxiv: 1002.3774 · v1 · submitted 2010-02-19 · 🧮 math.AG · math.CV

Topology of hypersurface singularities with 3-dimensional critical set

classification 🧮 math.AG math.CV
keywords definessingularitybouquetcodimensioncriticaldimensiondimensionalextended
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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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