Equisingularity of families of isolated determinantal singularities

Autor(es)

Nuno-Ballesteros, J. J. ^[1] ; Orefice-Okamoto, B. ^[2] ; Tomazella, J. N. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Valencia, Dept Matemat, Campus Burjassot, E-46100 Burjassot - Spain

^[2] Univ Fed Sao Carlos, Dept Matemat, Caixa Postal 676, BR-13560905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATISCHE ZEITSCHRIFT; v. 289, n. 3-4, p. 1409-1425, AUG 2018.
• Citações Web of Science: 2

Resumo

We study the topological triviality and the Whitney equisingularity of a family of isolated determinantal singularities. On one hand, we give a L-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. (AU)

• Processo FAPESP: 13/14014-3 - Equisingularidade de variedades determinantais
• Beneficiário: Bruna Orefice Okamoto
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 16/04740-7 - Invariantes de variedades singulares e de aplicações sobre variedades singulares
• Beneficiário: João Nivaldo Tomazella
• Modalidade de apoio: Auxílio à Pesquisa - Regular