Simple germs with non-isolated singularities

• Grant number: 12/21283-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2013
• End date: November 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Michelle Ferreira Zanchetta Morgado
• Grantee: Rafaela Soares de Carvalho
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

In this project, we will study germs of analytic functions that have a neighborhood intersecting only a finite number of orbits associated, called simple germs. The goal is to classify these germs according to the type of singularity. We will see that the action considered in the case of germs with isolated singularities to obtain the orbits differs from the action required in the case of non-isolated singularities, involving several algebraic concepts interesting.(AU)