Uniform linear bound in Chevalley's lemma
Algebraic Geometry
2007-05-23 v1 Complex Variables
Abstract
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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Cite
@article{arxiv.math/0502314,
title = {Uniform linear bound in Chevalley's lemma},
author = {J. Adamus and E. Bierstone and P. D. Milman},
journal= {arXiv preprint arXiv:math/0502314},
year = {2007}
}
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12 pages