| 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 |
Abstract 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) | |