The ojasiewicz exponent of a set of weighted homogeneous ideals

Abstract

We give an expression for the ojasiewicz exponent of a set of ideals which are pieces of a weighted homogeneous filtration. We also study the application of this formula to the computation of the ojasiewicz exponent of the gradient of a semi-weighted homogeneous function (n,0) (,0) with an isolated singularity at the origin.

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