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Equisingularity of families of isolated determinantal singularities

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Abstract

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.

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Authors and Affiliations

  1. Departament de Matemàtiques, Universitat de València, Campus de Burjassot, 46100, Burjassot, Spain

    J. J. Nuño-Ballesteros

  2. Departamento de Matemática, Universidade Federal de São Carlos, Caixa Postal 676, São Carlos, SP, 13560-905, Brazil

    B. Oréfice-Okamoto & J. N. Tomazella

Authors
  1. J. J. Nuño-Ballesteros
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  2. B. Oréfice-Okamoto
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  3. J. N. Tomazella
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Correspondence to J. J. Nuño-Ballesteros.

Additional information

The first author was partially supported by DGICYT Grant MTM2015-64013-P and CAPES-PVE Grant 88881.062217/2014-01. The second author was partially supported by FAPESP Grant 2013/14014-3. The third author is partially supported by CNPq Grant 309626/2014-5 and FAPESP Grant 2016/04740-7.

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Nuño-Ballesteros, J.J., Oréfice-Okamoto, B. & Tomazella, J.N. Equisingularity of families of isolated determinantal singularities. Math. Z. 289, 1409–1425 (2018). https://doi.org/10.1007/s00209-017-2004-y

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  • DOI: https://doi.org/10.1007/s00209-017-2004-y

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