"Trivialidade topológica em germes de hipersuperfícies e poliedros de Newton" / Topological triviality in germs of hypersufaces and Newton polyhedra
AUTOR(ES)
Gabriela Castro Vieira da Silva
DATA DE PUBLICAÇÃO
2006
RESUMO
One of the most important questions in Theory of Singularities is the determination of conditions that guarantee the topological triviality in families of germs of functions or mappings. In this work a study is made in order to describe necessaries and sufficients conditions for the topological triviality in families of germs of functions with isolated singularity. For this, two methods are presented. The first one is controlled vectors fields method, based on the works of Damon-Gaffney and Yoshinaga. The second relates invariants associated with families of germs of functions with the topological triviality of these. In both cases, the main tool used is the construction of Newton polyhedra associated with families.
ASSUNTO(S)
poliedros newton topological triviality trivialidade topológica newton polyhedra
