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Zeta functions and blow-Nash equivalence

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Fichou G.

Annales Polonici Mathematici

2005

tom 87

nr 1

111-126

We propose a refinement of the notion of blow-Nash equivalence between Nash function germs, which has been introduced in [2] as an analog in the Nash setting of the blow-analytic equivalence defined by T.-C. Kuo [13]. The new definition is more natural and geometric. Moreover, this equivalence relation still does not admit moduli for a Nash family of isolated singularities. But though the zeta functions constructed in [2] are no longer invariants for this new relation, thanks to a Denef & Loeser formula coming from motivic integration in a Nash setting, we manage to derive new invariants for this equivalence relation.

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1 Annales Polonici Mathematici

1 Fichou G.

1 2005

Wyniki wyszukiwania

Zeta functions and blow-Nash equivalence