POLIEDROS DE EQUISINGULARIDADES DE GERMES PRÉ-QUASE-HOMOGÊNEOS

• Main Author: Marcelo José Saia
• Other Authors: Maria Aparecida Soares Ruas
• Language: Portuguese
• Published: Universidade de São Paulo 1991
• Subjects: Não disponível; Not available
• Online Access: http://www.teses.usp.br/teses/disponiveis/55/55132/tde-27112018-160504/

Não disponível === 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.