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Search: MSC category 13B40 ( Etale and flat extensions; Henselization; Artin approximation [See also 13J15, 14B12, 14B25] )

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1. CMB 2011 (vol 55 pp. 752)

Hickel, M.; Rond, G.
 Approximation of Holomorphic Solutions of a System of Real Analytic Equations We prove the existence of an approximation function for holomorphic solutions of a system of real analytic equations. For this we use ultraproducts and Weierstrass systems introduced by J. Denef and L. Lipshitz. We also prove a version of the PÅoski smoothing theorem in this case. Keywords:Artin approximation, real analytic equationsCategories:13B40, 13L05, 14F12

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