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2004 Topological triviality of families of functions on analytic varieties
Maria Aparecida Soares Ruas, João Nivaldo Tomazella
Nagoya Math. J. 175: 39-50 (2004).


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.


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Maria Aparecida Soares Ruas. João Nivaldo Tomazella. "Topological triviality of families of functions on analytic varieties." Nagoya Math. J. 175 39 - 50, 2004.


Published: 2004
First available in Project Euclid: 27 April 2005

zbMATH: 1080.32027
MathSciNet: MR2085309

Primary: 32S15
Secondary: 58Kxx

Rights: Copyright © 2004 Editorial Board, Nagoya Mathematical Journal


Vol.175 • 2004
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