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Euler obstruction and generalizations

Grant number: 17/18543-1
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): January 01, 2018
Effective date (End): December 21, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Nivaldo de Góes Grulha Júnior
Grantee:Hellen Monção de Carvalho Santana
Supervisor abroad: Nicolas Dutertre
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Research place: Université d'Angers, France  
Associated to the scholarship:15/25191-9 - The Euler obstruction and generalizations, BP.DR


The Euler obstruction, defined by MacPherson, is an invariant rised as a tool in the study of characteristic class of singular varieties. Brasselet, Massey, Parameswaran and Seade presented a generalization of this concept, associated with a function with isolated singularity, defined on a singular variety, called the Euler obstruction of f. More recently, Dutertre and Grulha gave another generalization, called the number of Brasselet. This in turn is well-defined even when f has non-isolated singularity. The aim of this project is study the Euler obstruction and these generalizations. (AU)

Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
SANTANA, HELLEN. Brasselet Number and Function-Germs with a One-Dimensional Critical Set. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 52, n. 2 JUN 2020. Web of Science Citations: 0.

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