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arXiv · 0912.3879

The {\L}ojasiewicz exponent of a set of weighted homogeneous ideals

Carles Bivià-Ausina·Santiago Encinas
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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 $(\C^n,0)\to (\C,0)$ with an isolated singularity at the origin.

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Carles Bivià-Ausina, Santiago Encinas. 2009-12-19. The {\L}ojasiewicz exponent of a set of weighted homogeneous ideals. https://doi.org/10.1016/j.jpaa.2010.06.008

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