REAL POLYNOMIAL MAPS AND SINGULAR OPEN BOOKS AT INFINITY

Author(s)

Araujo Dos Santos, Raimundo N. ^[1] ; Chen, Ying ^[2] ; Tibar, Mihai ^[3]

Affiliation

^[1] Univ Sao Paulo, ICMC, Ave Trabalhador Sao Carlense, 400 Cp Box 668, BR-13560970 Sao Paulo - Brazil

^[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074 - Peoples R China

^[3] Univ Lille 1, UMR CNRS 8524, Math, F-59655 Villeneuve Dascq - France

• Document type: Journal article
• Source: MATHEMATICA SCANDINAVICA; v. 118, n. 1, p. 57-69, 2016.
• Web of Science Citations: 0

Abstract

We provide significant conditions under which we prove the existence of stable open book structures at infinity, i.e. on spheres S-R(m-1) of large enough radius R. We obtain new classes of real polynomial maps R-m -> R-p which induce such structures. (AU)

• FAPESP's process: 11/20804-1 - Topology of real and complex polynomials mappings: local and global aspects (at infinity)
• Grantee: Raimundo Nonato Araújo dos Santos
• Support Opportunities: Regular Research Grants
• FAPESP's process: 12/18957-7 - Study of singularities for mixed polynomials
• Grantee: Ying Chen
• Support Opportunities: Scholarships in Brazil - Post-Doctoral