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Simple germs with non-isolated singularities

Grant number: 12/21283-8
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): January 01, 2013
Effective date (End): November 30, 2013
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Michelle Ferreira Zanchetta Morgado
Grantee:Rafaela Soares de Carvalho
Home 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 case of non-isolated singularities, involving several algebraic concepts interesting.