Zeta functions and Blow-Nash equivalence

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dc.creatorFichou, Goulwen
dc.date2005-01-17
dc.date.accessioned2026-07-07T06:26:49Z
dc.date.available2026-07-07T06:26:49Z
dc.descriptionWe 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0501252
dc.identifierhttp://arxiv.org/abs/math/0501252
dc.identifierAnnales Polonici Mathematici 87 (2005) 111-126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97226
dc.subjectAlgebraic Geometry
dc.subject14B05; 14P20; 14P25; 32S15
dc.titleZeta functions and Blow-Nash equivalence
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