Equivariant virtual Betti numbers

Details Equivariant virtual Betti numbers Equivariant virtual Betti numbers

2006-05-09

arxiv.org/abs/math/0605220v2

Mathematics

Algebraic Geometry

20 pages, to appear in Ann. Inst. Fourier

Scientific paper

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

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