arXiv:1002.3774 Abstract | arXiv Analytics

arXiv:1002.3774 [math.AG]Abstract References Reviews Resources

Topology of hypersurface singularities with 3-dimensional critical set

Javier Fernandez de Bobadilla, Miguel Angel Marco-Buzunariz

Published 2010-02-19Version 1

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.

Comments: 40 pages, 3 figures

Categories: math.AG, math.CV

Subjects: 14J17, 32S25

Keywords: hypersurface singularities, critical set, singularity, finite extended codimension, homotopy type

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