Geometria das singularidades de projeções

Dias, Fabio Scalco

doi:10.11606/T.55.2005.tde-18122005-190356

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Doctoral Thesis

DOI

https://doi.org/10.11606/T.55.2005.tde-18122005-190356

Document

Doctoral Thesis

Author

Dias, Fabio Scalco (Catálogo USP)

Full name

Fabio Scalco Dias

E-mail

Institute/School/College

Instituto de Ciências Matemáticas e de Computação

Knowledge Area

Mathematics

Date of Defense

2005-09-16

Published

São Carlos, 2005

Supervisor

Marar, Washington Luiz (Catálogo USP)

Committee

Marar, Washington Luiz (President)
Ballesteros, Juan Jose Nuño
Costa, Sueli Irene Rodrigues
Martin, Luiz Antonio Barrera San
Ruas, Maria Aparecida Soares

Title in Portuguese

"Geometria das singularidades de projeções"

Keywords in Portuguese

classificação de singularidades
curvas planas
diagramas divergentes
projeção ortogonal
Singularidades

Abstract in Portuguese

Neste trabalho estudamos as singularidades de projeções no plano de curvas genéricas, introduzindo uma nova relação de equivalência para germes e multigermes de curvas planas, denominada A_h-equivalência.

Title in English

Geometry of singularities of projections

Keywords in English

classification of singularities
divergent diagrams
orthogonal projections
plane curves
Singularities

Abstract in English

In this work singularities of projections to the plane of curves are studied. We introduce a new equivalence relation for germs of plane curves, called A_h-equivalence.

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Publishing Date

2006-03-06

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