LOJASIEWICZ INEQUALITY OVER THE RING OF POWER SERIES IN TWO VARIABLES

被引：4
|
作者：
Rond, Guillaume [1 ]
机构：
[1] Fac Sci Luminy, Inst Math Luminy, F-13288 Marseille 9, France
来源：
MATHEMATICAL RESEARCH LETTERS | 2013年 / 20卷 / 02期
关键词：
THEOREM;
D O I：
10.4310/MRL.2013.v20.n2.a9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a Lojasiewicz type inequality for a system of polynomial equations with coefficients in the ring of formal power series in two variables. This result is an effective version of the Strong Artin Approximation Theorem. From this result, we deduce a bound of Artin functions of isolated singularities.
引用
收藏
页码：325 / 337
页数：13
相关论文
共 8 条
1