The Bruce-Roberts numbers and the logarithmic characteristic variety

• Grant number: 22/08662-1
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: August 01, 2022
• End date: June 22, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Maria Aparecida Soares Ruas
• Grantee: Bárbara Karolline de Lima Pereira
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 19/21181-0 - New frontiers in Singularity Theory, AP.TEM
• Associated scholarship(s): 23/04460-8 - The Bruce-Roberts number and the logarithmic characteristic variety, BE.EP.PD

Abstract

In this project, we intend to study relationships between the Milnor number of a function germ and the Bruce-Roberts numbers of the function germ with respect to a hypersurface with non-isolated singularity and to obtain information about the logarithmic characteristic varieties. (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)

PEREIRA, BARBARA K. LIMA; RUAS, MARIA APARECIDA SOARES; SANTANA, HELLEN. Relative Bruce-Roberts number and Chern obstruction. REVISTA MATEMATICA COMPLUTENSE, v. N/A, p. 24-pg., 2025-05-27. (22/06968-6, 22/08662-1, 23/04460-8, 19/21181-0)