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Singularities of semi-algebraic mappings

Grant number:17/20455-3
Support Opportunities:Regular Research Grants
Start date: February 01, 2018
End date: January 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Raimundo Nonato Araújo dos Santos
Grantee:Raimundo Nonato Araújo dos Santos
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
City of the host institution:São Carlos
Associated research grant(s):19/08939-0 - Applications of singularity theory on deep neural networks, AP.R SPRINT

Abstract

This project contains two main directions which are connected with each other and will be developed simultaneously, using techniques and tools from differential topology, algebraic topology and singularity theory; to now, the existence of fibered structures in the presence of singularities, and a classification of real algebraic sets according to the Akbulut-King program} introduced in the text of the project. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications (4)
(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)
RIBEIRO, MAICO F.; ARAUJO DOS SANTOS, RAIMUNDO NONATO. Geometrical Conditions for the Existence of a Milnor Vector Field. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 52, n. 4, p. 771-789, . (19/21181-0, 17/20455-3)
ARAUJO DOS SANTOS, RAIMUNDO N.; RIBEIRO, MAICO F.; TIBAR, MIHAI. Fibrations of highly singular map germs. BULLETIN DES SCIENCES MATHEMATIQUES, v. 155, p. 92-111, . (17/20455-3)
DO ESPIRITO SANTO, A. A.; DREIBELBIS, D.; RIBEIRO, M. F.; ARAUJO DOS SANTOS, R. N.. A QUICK TRIP THROUGH FIBRATION STRUCTURES. JOURNAL OF SINGULARITIES, v. 22, p. 25-pg., . (17/20455-3, 19/21181-0)
DOS SANTOS, RAIMUNDO N. ARAUJO; RIBEIRO, MAICO F.; TIBAR, MIHAI. Milnor-Hamm sphere fibrations and the equivalence problem. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, v. 72, n. 3, p. 945-957, . (17/20455-3)