Study of singularities for mixed polynomials

• Grant number: 12/18957-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2013
• End date: February 28, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Raimundo Nonato Araújo dos Santos
• Grantee: Ying Chen
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

In this project we are developing a study of the topology/geometry of local and global singularities for a special class of real polynomial maps introduced by Mutsuo Oka known as "mixed polynomials." To this end, we will be mixing some well known techniques from local/global studies(as described in the project) and developing new tools that allow us to find topological invariants and get a possible classification of these singularities.

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)

DUTERTRE, N.; ARAUJO DOS SANTOS, R. N.; CHEN, YING; DO ESPIRITO SANTO, ANTONIO ANDRADE. Open book structures on semi-algebraic manifolds. MANUSCRIPTA MATHEMATICA, v. 149, n. 1-2, p. 205-222, JAN 2016. (12/18957-7, 13/23443-5)

ARAUJO DOS SANTOS, RAIMUNDO N.; CHEN, YING; TIBAR, MIHAI. REAL POLYNOMIAL MAPS AND SINGULAR OPEN BOOKS AT INFINITY. MATHEMATICA SCANDINAVICA, v. 118, n. 1, p. 57-69, 2016. (11/20804-1, 12/18957-7)