| Texto completo | |
| Autor(es): |
Ruas, Maria Aparecida Soares
;
Tomazella, João Nivaldo
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Nagoya Mathematical Journal; v. 175, p. 38-50, 2004. |
| Área do conhecimento: | Ciências Exatas e da Terra - Matemática |
| Assunto(s): | Funções de uma variável complexa |
| Resumo | |
We present in this paper sufficient conditions for the topological triviality of families of germs of functions defined on an analytic variety $V$. The main result is an infinitesimal criterion based on a convenient weighted inequality, similar to that introduced by T. Fukui and L. Paunescu. When $V$ is a weighted homogeneous variety, we obtain as a corollary, the topological triviality of deformations by terms of non negative weights of a weighted homogeneous germ consistent with V. Application of the results to deformations of Newton non-degenerate germs with respect to a given variety is also given. (AU) | |
| Processo FAPESP: | 97/10735-3 - Singularidades, geometria e equações diferenciais |
| Beneficiário: | Maria Aparecida Soares Ruas |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |