Equisingularity of families of isolated determinantal singularities

Full text
Author(s):	Nuno-Ballesteros, J. J. ^[1] ; Orefice-Okamoto, B. ^[2] ; Tomazella, J. N. ^[2] Total Authors: 3
Affiliation:	^[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 Total Affiliations: 2
Document type:	Journal article
Source:	MATHEMATISCHE ZEITSCHRIFT; v. 289, n. 3-4, p. 1409-1425, AUG 2018.
Web of Science Citations:	2
Abstract
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)

FAPESP's process:	13/14014-3 - Equisingularity of determinantal varieties
Grantee:	Bruna Orefice Okamoto
Support Opportunities:	Regular Research Grants


FAPESP's process:	16/04740-7 - Invariants of singular varieties and of maps on singular varieties
Grantee:	João Nivaldo Tomazella
Support Opportunities:	Regular Research Grants