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Doctoral Thesis
DOI
10.11606/T.55.2018.tde-16032018-101643
Document
Author
Full name
Roberta Godoi Wik Atique
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1998
Supervisor
Committee
Mond, David (President)
Carneiro, Mario Jorge Dias
Rieger, Joachim Herbert
Tari, Farid
Vainsencher, Israel
Title in Portuguese
Classificação e Topologia de Variedades Singulares Parametrizadas por Multigermes
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Neste trabalho obtemos a classificação dos multigermes simples de C2 em C3 bem como resultados sobre sua topologia. Para estes multigermes mostramos que o complementar do conjunto de bifurcação é um espaço de Eilenberg-MacLane. Para alguns multigermes de Cn em Cp de codimensão 1 e coposto 1, mostramos que sua forma real admite uma perturbação real cujo discriminante tem o mesmo tipo de homotopia que seu correspondente complexo.
Title in English
Not available
Keywords in English
Not available
Abstract in English
In this work we obtain the classification of simple multigerms of maps from 2-space to 3-space and also some results about their topology. For some codimension 1 and corank 1 multigerms from Cn to Cp we show that we can find a real form and a real perturbation such that the inclusion of the real discriminant in that of the complexification induces an isomorphism on the vanishing homology.
 
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Publishing Date
2018-03-16
 
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