Indices of vector fields in singular varieties

• Grant number: 22/09294-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2022
• End date: August 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Thais Maria Dalbelo
• Grantee: Olavo Queiroga de Melo
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 19/21181-0 - New frontiers in Singularity Theory, AP.TEM

Abstract

Studying Vector Fields in Singular Varieties, is the necessary element to understand the definition of the index of a singularity when the variety itself has singularities, as well as the important results related to this invariant. (AU)