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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.)

Brasselet Number and Function-Germs with a One-Dimensional Critical Set

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Author(s):
Santana, Hellen
Total Authors: 1
Document type: Journal article
Source: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 52, n. 2 JUN 2020.
Web of Science Citations: 0
Abstract

The Brasselet number of a function f hnonisolated singularities describes numerically the topological information of its generalized Milnor fibre. In this work, using the Brasselet number, we present several formulas for germs f : (X, 0) -> (C, 0) and g : (X, 0) -> (C, 0) in the case where g has a one-dimensional critical locus. We also give applications when f has isolated singularities and when it is a generic linear form. (AU)

FAPESP's process: 15/25191-9 - The Euler obstruction and generalizations
Grantee:Hellen Monção de Carvalho Santana
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 17/18543-1 - Euler obstruction and generalizations
Grantee:Hellen Monção de Carvalho Santana
Support Opportunities: Scholarships abroad - Research Internship - Doctorate