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arxiv: 0912.3879 · v1 · pith:GREFRNCRnew · submitted 2009-12-19 · 🧮 math.AG · math.CV

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

classification 🧮 math.AG math.CV
keywords exponenthomogeneousojasiewiczidealsweightedapplicationcomputationexpression
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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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