The Łojasiewicz exponent of a set of weighted homogeneous ideals

Details The Łojasiewicz exponent of a set of weighted homogeneous ideals The Łojasiewicz exponent of a set of weighted homogeneous ideals

2009-12-19

arxiv.org/abs/0912.3879v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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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