Zeta functions and blow-Nash equivalence

• Autorzy: Goulwen Fichou
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 14B05: Singularities
• 14P25: Topology of real algebraic varieties
• 32S15: Equisingularity (topological and analytic)
• 14P20: Nash functions and manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 87
• Numer: 1
• Strony: 111-126

Daty

wydano

2005

Twórcy

autor

Goulwen Fichou

• Institut Mathématiques de Rennes, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France

Identyfikatory

DOI

10.4064/ap87-0-10