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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.)

Le-Greuel type formula for the Euler obstruction and applications

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Author(s):
Dutertre, Nicolas [1] ; Grulha, Jr., Nivaldo G. [2]
Total Authors: 2
Affiliation:
[1] Aix Marseille Univ, LATP, F-13453 Marseille 13 - France
[2] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: ADVANCES IN MATHEMATICS; v. 251, p. 127-146, JAN 30 2014.
Web of Science Citations: 7
Abstract

The Euler obstruction of a function f can be viewed as a generalization of the Milnor number for functions defined on singular spaces. In this work, using the Euler obstruction of a function, we establish several Le-Greuel type formulas for germs f: (X, 0) -> (C, 0) and g: (X, 0) -> (C, 0). We give applications when g is a generic linear form and when f and g have isolated singularities. (C) 2013 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 13/11258-9 - Topological study on singular varieties and applications on smooth manifolds
Grantee:Nivaldo de Góes Grulha Júnior
Support Opportunities: Regular Research Grants
FAPESP's process: 09/08774-0 - The Euler obstruction of analytic maps
Grantee:Nivaldo de Góes Grulha Júnior
Support Opportunities: Regular Research Grants