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Equisingularity and invariants associated to the topology of functions with non-isolated singularity

Grant number: 22/06968-6
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): July 01, 2022
Effective date (End): June 30, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Maria Aparecida Soares Ruas
Grantee:Hellen Monção de Carvalho Santana
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:19/21181-0 - New frontiers in Singularity Theory, AP.TEM

Abstract

In this project, we propose to study the topology of complex functions with non-isolated singularity defined on a singular variety by using numerical invariants associated to them. We aim to analyse the constancy of these invariants over families of deformations of varieties and of functions and to search for applications for the obtained informations on classes of complete intersections, determinantal and toric varieties.

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