The {\L}ojasiewicz exponent of a set of weighted homogeneous ideals
Carles Bivi\`a-Ausina, Santiago Encinas
TL;DR
This paper derives a formula for the {\
Contribution
It introduces a new expression for the {\
Findings
Provides a formula for the {\
contribution
Offers a method to compute the {\
Abstract
We give an expression for the {\L}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 {\L}ojasiewicz exponent of the gradient of a semi-weighted homogeneous function with an isolated singularity at the origin.
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