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VOL. 43 | 2006 An infinitesimal criterion for topological triviality of families of sections of analytic varieties
Maria Aparecida Soares Ruas, João Nivaldo Tomazella

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Hiroo Tokunaga, Ichiro Shimada, Takasi Sano

Abstract

We present 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 using the integral closure of a convenient ideal as the tangent space to a subset of the set of topologically trivial deformations of a given germ. Applications to the problem of equisingularity of families of sections of $V$ are also discussed.

Information

Published: 1 January 2006
First available in Project Euclid: 3 January 2019

zbMATH: 1137.32012
MathSciNet: MR2325149

Digital Object Identifier: 10.2969/aspm/04310421

Subjects:
Primary: 32S15, 58K15, 58K40

Rights: Copyright © 2006 Mathematical Society of Japan

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