Equivariant virtual Betti numbers

被引：0

作者：

Fichou, Goulwen ^{[1
]}

机构：

[1] Univ Rennes 1, Inst Math Rennes, F-35042 Rennes, France

来源：

ANNALES DE L INSTITUT FOURIER | 2008年 / 58卷 / 01期

关键词：

equivariant homology; arc symmetric sets; motivic integration; Blow-Nash equivalence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a generalised Euler characteristic for arc-symmetric sets endowed with a group action. It coincides with the Poincare series in equivariant homology for compact nonsingular sets, but is different in general. We put emphasis on the particular case of Z/2Z, and give an application to the study of the singularities of Nash function germs via an analog of the motivic zeta function of Denef and Loeser.

引用

页码：1 / 27

页数：27

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