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
• 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)

Scientific publications

(4)

(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)

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, JUL 2020. (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., 2020-01-01. (17/20455-3, 19/21181-0)

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, SEP 2019. (17/20455-3)

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, DEC 2021. (19/21181-0, 17/20455-3)