Euler obstruction and generalizations

• Grant number: 17/18543-1
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: January 01, 2018
• End date: December 21, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Nivaldo de Góes Grulha Júnior
• Grantee: Hellen Monção de Carvalho Santana
• Supervisor: Nicolas Dutertre
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: 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)

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. (15/25191-9, 17/18543-1)