Topology of hypersurface singularities with 3-dimensional critical set

Topology of hypersurface singularities with 3-dimensional critical set

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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Veröffentlicht in:arXiv.org 2010-02
Hauptverfasser: Fernandez de Bobadilla, Javier, Marco-Buzunariz, Miguel Angel
Format: Artikel
Sprache:eng
Schlagworte:
Hyperspaces
Singularities
Topology
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Zusammenfassung: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.
ISSN:2331-8422