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Doctoral Thesis
DOI
10.11606/T.55.2018.tde-27112018-160504
Document
Author
Full name
Marcelo José Saia
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1991
Supervisor
Committee
Ruas, Maria Aparecida Soares (President)
Loibel, Gilberto Francisco
Manco, Cesar Leopoldo Camacho
Marar, Washington Luiz
Soares, Marcio Gomes
Title in Portuguese
POLIEDROS DE EQUISINGULARIDADES DE GERMES PRÉ-QUASE-HOMOGÊNEOS
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
The polyhedra of equisingularity of  pre quasi-homogeneous germs
Keywords in English
Not available
Abstract in English
In this work we introduce the notion of a pre-weighted homogeneus germ and we show that they are G-finite for G = A and K. We obtain results on the equisingularity of families of hipersurfaces defined by such germs as a consequence of a caracterization of the polihedron of Equisingularity of an analitic germ with isolated singularity. We also show that the gradient polihedron defined by E. Yoshinaga [Y], the filtration conditions defined by J.Damon and T. Gaffney [D G], and the algebraic approach of integral closure of ideais considered by Teissier [T1],[T2] lead to the same convex subset of the polihedron of equisingularity. A partial extension of the above results for complete intersection with isolated singularity is obtained.
 
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MarceloJoseSaia.pdf (2.77 Mbytes)
Publishing Date
2018-11-27
 
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