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Article Dans Une Revue Proceedings of the London Mathematical Society Année : 2011

On almost Blow-analytic equivalence

Résumé

Approximation of real analytic functions by Nash functions is a classical topic in real geometry. In this paper, we focus on the Nash approximation of an analytic desingularization of a Nash function germ obtained by a sequence of blowings-up along smooth analytic centers. We apply the result to prove that Nash function germs that are analytically equivalent after analytic desingularizations are Nash equivalent after Nash desingularizations. Results are based on a precise Euclidean description of a sequence of blowings-up combined with Néron Desingularization.
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Dates et versions

hal-00346718 , version 1 (12-12-2008)
hal-00346718 , version 2 (03-09-2010)

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Goulwen Fichou, Masahiro Shiota. On almost Blow-analytic equivalence. Proceedings of the London Mathematical Society, 2011, 103 (4), pp.676-709. ⟨hal-00346718v2⟩
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