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Vietnam Journal of Mathematics 35:2(2007) 187-199

 The Degree of C⁰-sufficiency of Analytic Function Germs With Respect to an Ideal

Pham Tien Son

Abstract.  Let f: (C², 0) -> (C, 0) be an analytic function germ of two complex variables and let I be an ideal of C{x, y}. We give some formulae for the degree of C⁰-sufficiency of f with respect to I. When I is the maximal ideal we retrieve a result of T. C. Kuo and Y. C. Lu.

2000 Mathematics Subject Classification: 32C40, 58K40; Secondary: 14H20, 32S05.

Keywords: C⁰-sufficiency, Equisingularity, µ-constant, Newton polygon.

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Published by Springer since January 2013