On almost blow-analytic equivalence

被引：2

作者：

Fichou, Goulwen ^{[1
]}

Shiota, Masahiro ^{[2
]}

机构：

[1] Univ Rennes 1, IRMAR, UMR 6625, F-35042 Rennes, France

[2] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2011年 / 103卷

关键词：

CHARACTERISTIC ZERO; THEOREM; SINGULARITIES; INVARIANTS; RING; SETS;

D O I：

10.1112/plms/pdq031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the analytic equivalence of real analytic function germs after desingularization and state the cardinality of the classes under this equivalence relation. We consider also the Nash case, and compare these equivalences with the blow-analytic or blow-Nash equivalence. We prove an approximation result after desingularization: Nash function germs that are analytically equivalent after analytic desingularizations are Nash equivalent after Nash desingularizations.

引用

页码：676 / 709

页数：34

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