Cl-determinacy of weighted homogeneous germs
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Abstract
We provide new estimates on the degree of Cl-G-determinacy (G is one of Mather’s groups R, C, or K) of weighted homogeneous map germs satisfying a convenient Lojasiewicz condition. The results give an explicit order such that the Cl geometrical structure of a weighted homogeneous polynomial map-germ is preserved after higher order perturbations. As an application of our results, we use the degree of C1-determinacy and the Newton diagram to obtain equisingular deformations in the Briançon-Speder example. © 1997 by the University of Notre Dame. All rights reserved.
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Keywords
Cl-determinacy, Controled vector fields, Weighted homogeneous control functions, Weighted homogeneous map-germs
Language
English
Citation
Hokkaido Mathematical Journal, v. 26, n. 1, p. 89-99, 1997.
