Topological study on singular varieties and applications on smooth manifolds

• Grant number: 13/11258-9
• Support Opportunities: Regular Research Grants
• Start date: September 01, 2013
• End date: August 31, 2015
• 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 Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project aims to develop research in the theory of singularities in two lines of study, although both have topological treatment, we can classify these two lines as the study of topological maps on smooth manifolds, and topological study of singular varieties and applications defined on singular varieties . (AU)

Scientific publications

(5)

(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)

DALBELO, T. M.; GRULHA, JR., N. G.. The Euler obstruction and torus action. Geometriae Dedicata, v. 175, n. 1, p. 373-383, APR 2015. (13/11258-9)

CISNEROS-MOLINA, JOSE LUIS; SEADE, JOSE; GRULHA, JR., NIVALDO G.. On the topology of real analytic maps. INTERNATIONAL JOURNAL OF MATHEMATICS, v. 25, n. 7, JUN 2014. (13/11258-9, 11/03185-6, 09/08774-0)

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)

DUTERTRE, NICOLAS; GRULHA, NIVALDO G., JR.. SOME NOTES ON THE EULER OBSTRUCTION OF A FUNCTION. JOURNAL OF SINGULARITIES, v. 10, p. 10-pg., 2014-01-01. (13/11258-9)

DUTERTRE, NICOLAS; GRULHA, JR., NIVALDO G.. Le-Greuel type formula for the Euler obstruction and applications. ADVANCES IN MATHEMATICS, v. 251, p. 127-146, JAN 30 2014. (13/11258-9, 09/08774-0)