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The Poincaré-Hopf index and generalizations in singular case

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Author(s):
Thaís Maria Dalbelo
Total Authors: 1
Document type: Master's Dissertation
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Defense date:
Examining board members:
Nivaldo de Góes Grulha Junior; Marcelo Messias; Ana Claudia Nabarro
Advisor: Nivaldo de Góes Grulha Junior
Abstract

In this work, we study thePoincaré-Hopf index, defined for isolated singularities of vector fields on manifolds. Moreover, we investigate some definitions of indices of vector fields defined on singular varieties, as the Schwartz index and the GSV index. We study these invariants in the case where (V; 0) is a germ of a complete intersection with an isolated singularity at the origin (AU)

FAPESP's process: 09/03201-1 - Indices of Vector Fields on Singular Varieties.
Grantee:Thais Maria Dalbelo
Support Opportunities: Scholarships in Brazil - Master