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Singularities of maps, characteristic classes and Thom polynomials

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Author(s):
João Vítor Pissolato
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; Maria Elenice Rodrigues Hernandes; Michelle Ferreira Zanchetta Morgado; Maria Aparecida Soares Ruas
Advisor: Nivaldo de Góes Grulha Junior
Abstract

The study of characteristic classes of singular varieties is a current theme and has been widely used in various areas of science. The purpose of this project is to study Schwartz-MacPherson classes through the means of the classical singularity theory. The central approach of the project is the use of Thom polynomials, which will provide an appropriate set of tools for the development of issues that generalize classical enumerative problems in singularity theory. (AU)

FAPESP's process: 19/11654-8 - Singularities of maps, characteristic classes and polynomials of Thom
Grantee:João Vítor Pissolato
Support Opportunities: Scholarships in Brazil - Master