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| Author(s): |
Amanda Monteiro
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2023-04-05 |
| Examining board members: |
Nivaldo de Góes Grulha Junior;
Alice Kimie Miwa Libardi;
Denise de Mattos;
Elíris Cristina Rizziolli
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| Advisor: | Nivaldo de Góes Grulha Junior; Michelle Ferreira Zanchetta Morgado |
| Abstract | |
The study of equivariant characteristic classes of singular varieties is a current topic and has been widely investigated in several areas of science. The main objective of this thesis is the construction of equivariant classes inspired by the characterization given by Paruzinski and Pragacz of the Milnor class, and making use of the equivariant Schwartz-MacPherson class already constructed by Ohmoto. We present Milnor type and Fulton type equivariant characteristic classes for singular hypersur- faces, as well as equivariant versions of the specialization homomorphisms, and then show a relation between these equivariant objects. (AU) | |
| FAPESP's process: | 19/02068-8 - Equivariant characteristic classes of singular hypersurfaces |
| Grantee: | Amanda Monteiro |
| Support Opportunities: | Scholarships in Brazil - Doctorate |