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Equisingularity of families of surfaces with non-isolated singularities

Grant number: 20/10888-2
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): November 01, 2020
Effective date (End): October 31, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal researcher:João Nivaldo Tomazella
Grantee:Otoniel Nogueira da Silva
Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Associated research grant:19/07316-0 - Singularity theory and its applications to differential geometry, differential equations and computer vision, AP.TEM

Abstract

In this project we propose to investigate the equimultiplicity and the bi-Lipschitz equisingularity of families of surfaces in C3, with non-isolated singularities, that are parametrized by finitely determined maps, using as a tool the information given by these maps. In this context, we also intend to establish a formula for calculating the number of exceptional tangents of a surface and invariants that control the constancy of this number in a Whitney equisingular family. (AU)