Equisingularity and the Theory of Integral Closure of modules.

• Grant number: 15/16746-7
• Support Opportunities: Scholarships abroad - Research
• Start date: February 01, 2016
• End date: January 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Nivaldo de Góes Grulha Júnior
• Grantee: Nivaldo de Góes Grulha Júnior
• Host Investigator: Terence James Gaffney
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Northeastern University, United States
• Associated research grant: 14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM

Abstract

The goal of this projetc is to use the theory of integral closure of modules and multiplicity of pair of modules in the study of equisingularities problems of sets and applications.

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)

GAFFNEY, TERENCE; GRULHA, JR., NIVALDO G.; RUAS, MARIA A. S.. The local Euler obstruction and topology of the stabilization of associated determinantal varieties. MATHEMATISCHE ZEITSCHRIFT, v. 291, n. 3-4, p. 905-930, APR 2019. (14/00304-2, 17/09620-2, 15/16746-7)

BARBOSA, G. F.; GRULHA, JR., N. G.; SAIA, M. J.. Minimal Whitney stratification and Euler obstruction of discriminants. Geometriae Dedicata, v. 186, n. 1, p. 173-180, FEB 2017. (13/11258-9, 14/00304-2, 15/16746-7)