Zeta functions and Blow-Nash equivalence
Algebraic Geometry
2007-05-23 v1
Abstract
We propose a refinement of the notion of blow-Nash equivalence between Nash function germs, which is an analog in the Nash setting of the blow-analytic equivalence defined by T.-C. Kuo. The new definition is more natural and geometric. Moreover, this equivalence relation still does not admit moduli for a Nash family of isolated singularities. Some previous invariants are no longer invariants for this new relation, however, thanks to a Denef & Loeser formula coming from motivic integration in a Nash setting, we managed to derive new invariants for this equivalence relation.
Cite
@article{arxiv.math/0501252,
title = {Zeta functions and Blow-Nash equivalence},
author = {Goulwen Fichou},
journal= {arXiv preprint arXiv:math/0501252},
year = {2007}
}
Comments
12 pages