Geodesic
Approximation of Holomorphic Solutions of a System of Real Analytic Equations
Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 752-761

Voir la notice de l'article provenant de la source Cambridge University Press

We prove the existence of an approximation function for holomorphic solutions of a system of real analytic equations. For this we use ultraproducts andWeierstrass systems introduced by J. Denef and L. Lipshitz. We also prove a version of the Płoski smoothing theorem in this case.
DOI : 10.4153/CMB-2011-129-4
Mots-clés : 13B40, 13L05, 14F12, Artin approximation, real analytic equations 
Hickel, M.; Rond, G. Approximation of Holomorphic Solutions of a System of Real Analytic Equations. Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 752-761. doi: 10.4153/CMB-2011-129-4
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