Singularidades do tipo D(q,p)

• Main Author: Carvalho, Rafaela Soares de [UNESP]
• Publication Date: 2016
• Format: Master thesis
• Language: por
• Source: Repositório Institucional da UNESP
• Download full: http://hdl.handle.net/11449/137928
• topic: R_I group; D(q,p) singularities; Lê numbers; Grupo R_I; Singularidades do tipo D(q,p); Números de Lê

In this work we study germs of functions under the action of the R_I group of diffeomorphisms of germs in C^n which preserving an ideal I, describing the concepts of codimension and finite determination associated. This provides the tools to characterize a particular type of germ with non isolated singularities, the so called D(q,p) singularities. We can still relate the concept of R_I-stability with these germs, in the case where I is a radical ideal that defines complete intersection with isolated singularity. Moreover, we present a coordinate system by which we obtain an explicit formula for some Lê numbers of these germs.