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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Topological triviality of families of functions on analytic varieties

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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