Equisingularity of families of isolated determinantal singularities

We study the topological triviality and the Whitney equisingularity of a family of isolated determinantal singularities. On one hand, we give a Lê-Ramanujam type theorem for this kind of singularities by using the homotopy type of the determinantal smoothing. On the other hand, we extend the results...

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Bibliographic Details
Published in:Mathematische Zeitschrift 2018-08, Vol.289 (3-4), p.1409-1425
Main Authors: Nuño-Ballesteros, J. J., Oréfice-Okamoto, B., Tomazella, J. N.
Format: Article
Language:English
Subjects:
Geometry
Intersections
Mathematics
Mathematics and Statistics
Singularity (mathematics)
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Summary:We study the topological triviality and the Whitney equisingularity of a family of isolated determinantal singularities. On one hand, we give a Lê-Ramanujam type theorem for this kind of singularities by using the homotopy type of the determinantal smoothing. On the other hand, we extend the results of Teissier and Gaffney about the Whitney equisingularity of hypersurfaces and complete intersections, respectively, in terms of the constancy of the polar multiplicities.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-017-2004-y