Indices of Vector Fields on Singular Varieties.

• Grant number: 09/03201-1
• Support Opportunities: Scholarships in Brazil - Master
• Start date: September 01, 2009
• End date: February 28, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Nivaldo de Góes Grulha Júnior
• Grantee: Thais Maria Dalbelo
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 08/54222-6 - Singularities, geometry and differential equations, AP.TEM

Abstract

The goal of this project is study definitions of indices of vector fields on singular varieties, for example, the GSV-index and the local Euler obstruction. We will work only on the case when (V,0) is the germ of a hypersurface with isolated singularity at the origin.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

DALBELO, Thais Maria. The Poincaré-Hopf index and generalizations in singular case. 2011. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.