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.

引用

页码：752 / 761

页数：10

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