Motivic invariants of Arc-Symmetric sets and Blow-Nash Equivalence

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dc.creatorFichou, Goulwen
dc.date2003-04-15
dc.date.accessioned2026-07-07T04:56:53Z
dc.date.available2026-07-07T04:56:53Z
dc.descriptionWe define invariants of the blow-Nash equivalence of real analytic function germs, in a similar way that the motivic zeta functions of Denef & Loeser. As a key ingredient, we extend the virtual Betti numbers, which were known for real algebraic sets, as a generalized Euler characteristics for projective constructible arc-symmetrics sets. Actually we prove more: the virtual Betti numbers are not only algebraic invariant, but also Nash-invariant of arc-symmetric sets. Our zeta functions enable to sketch the blow-Nash equivalence classes of Brieskorn polynomials of two variables.
dc.description26 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0304195
dc.identifierhttp://arxiv.org/abs/math/0304195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67083
dc.subjectAlgebraic Geometry
dc.subject14B05; 14P20; 14P25; 32S15
dc.titleMotivic invariants of Arc-Symmetric sets and Blow-Nash Equivalence
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