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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The local Euler obstruction and topology of the stabilization of associated determinantal varieties

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Author(s):
Gaffney, Terence [1] ; Grulha, Jr., Nivaldo G. [2] ; Ruas, Maria A. S. [2]
Total Authors: 3
Affiliation:
[1] Northeastern Univ, Dept Math, Boston, MA 02115 - USA
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ctr 400, Ave Trabalhador Sao Carlense, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: MATHEMATISCHE ZEITSCHRIFT; v. 291, n. 3-4, p. 905-930, APR 2019.
Web of Science Citations: 0
Abstract

This work has two complementary parts, in the first part we compute the local Euler obstruction of generic determinantal varieties and apply this result to compute the Chern-Schwartz-MacPherson class of such varieties. In the second part we compute the Euler characteristic of the stabilization of an essentially isolated determinantal singularity (EIDS). The formula is given in terms of the local Euler obstruction and Gaffney's md multiplicity. (AU)

FAPESP's process: 14/00304-2 - Singularities of differentiable mappings: theory and applications
Grantee:Maria Aparecida Soares Ruas
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 17/09620-2 - Topology and geometry of singular spaces and applications
Grantee:Nivaldo de Góes Grulha Júnior
Support Opportunities: Regular Research Grants
FAPESP's process: 15/16746-7 - Equisingularity and the Theory of Integral Closure of modules.
Grantee:Nivaldo de Góes Grulha Júnior
Support Opportunities: Scholarships abroad - Research