Approximation of Holomorphic Solutions of a System of Real Analytic Equations

被引：5
|
作者：
Hickel, M. [1 ,2 ]
Rond, G. [3 ]
机构：
[1] Univ Bordeaux 1, IMB, Equipe Anal & Geometrie, F-33405 Talence, France
[2] IUT Bordeaux 1, Dept Informat, F-33405 Talence, France
[3] IML, Fac Sci Luminy, Case 907, F-13288 Marseille 9, France
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2012年 / 55卷 / 04期
关键词：
Artin approximation; real analytic equations; LOCAL-RINGS; ULTRAPRODUCTS; THEOREM;
D O I：
10.4153/CMB-2011-129-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 Ploski smoothing theorem in this case.
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页码：752 / 761
页数：10
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