Codimension 2 simple germs

• Grant number: 16/04556-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 16, 2016
• End date: August 08, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Roberta Godoi Wik Atique
• Grantee: Roberta Godoi Wik Atique
• Visiting researcher: Raúl Adrian Oset Sinha
• Visiting researcher institution: Universitat de València, Spain
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

One of the key points in classification of singularities is the simplicity. Stable and codimension 1 germs are simple. What can be said about codimension 2 germs? The nice dimensions following Mather consist of pairs (n,p) for which stable germs from R^n to R^p form a dense set. In a joint project with Raul Oset and Maria Ruas we are studying pairs (n,p) for which monogerms of codimension 2 are simple in the nice dimensions. (AU)