| Full text | |
| Author(s): |
Ruas, Maria Aparecida Soares
;
Tomazella, João Nivaldo
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Nagoya Mathematical Journal; v. 175, p. 38-50, 2004. |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics |
| Abstract | |
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) | |
| FAPESP's process: | 97/10735-3 - Singularities, geometry and differential equations |
| Grantee: | Maria Aparecida Soares Ruas |
| Support Opportunities: | Research Projects - Thematic Grants |