JournalscmhVol. 88, No. 2pp. 253–304

Topology of hypersurface singularities with 3-dimensional critical set

  • Javier Fernández de Bobadilla

    Universidad Autónoma de Madrid, Spain
  • Miguel Marco-Buzunáriz

    Universidad Autónoma de Madrid, Spain
Topology of hypersurface singularities with 3-dimensional  critical set cover

Abstract

In this paper, we prove that the Milnor fibre of a singularity over an isolated complete intersection singularity (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.

Cite this article

Javier Fernández de Bobadilla, Miguel Marco-Buzunáriz, Topology of hypersurface singularities with 3-dimensional critical set. Comment. Math. Helv. 88 (2013), no. 2, pp. 253–304

DOI 10.4171/CMH/285