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arXiv:math/0501252 [math.AG]AbstractReferencesReviewsResources

Zeta functions and Blow-Nash equivalence

Goulwen Fichou

Published 2005-01-17Version 1

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.

Comments: 12 pages
Journal: Annales Polonici Mathematici 87 (2005) 111-126
Categories: math.AG
Subjects: 14B05, 14P20, 14P25, 32S15
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