Singularidades de famílias de matrizes simétricas

Dias, Luis Renato Gonçalves

doi:10.11606/D.55.2009.tde-18052009-161900

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Master's Dissertation

DOI

https://doi.org/10.11606/D.55.2009.tde-18052009-161900

Document

Master's Dissertation

Author

Dias, Luis Renato Gonçalves (Catálogo USP)

Full name

Luis Renato Gonçalves Dias

E-mail

Institute/School/College

Instituto de Ciências Matemáticas e de Computação

Knowledge Area

Mathematics

Date of Defense

2009-02-26

Published

São Carlos, 2009

Supervisor

Nabarro, Ana Claudia (Catálogo USP)

Committee

Ruas, Maria Aparecida Soares (President)
Garcia, Ronaldo Alves
Jesus, Catarina Mendes de

Title in Portuguese

Singularidades de famílias de matrizes simétricas

Keywords in Portuguese

Classificação de singularidades
Conjunto discriminante
Desdobramento versal
Famílias de matrizes
Singularidades simples de matrizes

Abstract in Portuguese

Estudamos singularidades de famílias de matrizes simétricas. O objetivo é classificar as singularidades simples de tais famílias e estudar a geometria de alguns objetos associados a elas

Title in English

Singularities of families of symmetric matrices

Keywords in English

Classification of singularities
Discriminant set
Families of matrices
Simple singularities of matrices
Versal unfolding

Abstract in English

We study the singularities of families of symmetric matrices. The aim of this work is to classify simple singularities of such families and study the geometry of some objects associated to them

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Publishing Date

2009-05-18

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