Uniform linear bound in Chevalley's lemma

Details Uniform linear bound in Chevalley's lemma Uniform linear bound in Chevalley's lemma

2005-02-15

arxiv.org/abs/math/0502314v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

We obtain a uniform linear bound for the Chevalley function at a point in the
source of an analytic mapping that is regular in the sense of Gabrielov. There
is a version of Chevalley's lemma also along a fibre, or at a point of the
image of a proper analytic mapping. We get a uniform linear bound for the
Chevalley function for a closed Nash (or formally Nash) subanalytic set.

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