Equisingularity of families of surfaces with non-isolated singularities

• Grant number: 20/10888-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: November 01, 2020
• End date: January 26, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: João Nivaldo Tomazella
• Grantee: Otoniel Nogueira da Silva
• Host 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)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GILES FLORES, ARTURO; SILVA, OTONIEL NOGUEIRA; SNOUSSI, JAWAD. ON THE FIFTH WHITNEY CONE OF A COMPLEX ANALYTIC CURVE. JOURNAL OF SINGULARITIES, v. 24, p. 23-pg., 2022-01-01. (20/10888-2)