Equisingularity of families of map germs on curves

• Grant number: 09/08513-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 07, 2009
• End date: September 20, 2009
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: João Nivaldo Tomazella
• Grantee: João Nivaldo Tomazella
• Visiting researcher: Juan José Nuño Ballesteros
• Visiting researcher institution: Universitat de València, Spain
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

The Prof. Ballesteros has a very strong interchange with the Singularity Theory group of São Carlos and in this visit he will continue to collaborate with research topics of interest of some members of the group. The main subject is the development of conditions to classify and understand the singularities of map germs. First, a study of the equisingularity in families of map germs defined in curves. The Milnor number of isolated singularities is another subject of interest. The singularities of finitely determined germs of curves and surfaces in the affine geometry is also of interest and the topological triviality in families of finitely determined analytic map germs will be discussed. (AU)