Equisingularity of mixed polynomials

• Grant number: 24/17116-6
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: September 01, 2025
• End date: August 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edivaldo Lopes dos Santos
• Grantee: Eder Leandro Sanchez Quiceno
• Supervisor: Carles Bivia-Ausina
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Universitat Politécnica de Valéncia (UPV), Spain
• Associated to the scholarship: 23/11366-8 - Equisingularity of mixed polynomials, BP.PD

Abstract

This project proposes the study of the Newton polyhedron of mixed polynomials in n-variables, along with non-degeneracy conditions. The main focus is to identify sufficient conditions, whether involving non-degeneracy or not, to ensure link equivalence in the members of one-parameter families of mixed polynomials.