Rationalite des series de Poincare et des fonctions Zeta motiviques

Details Rationalite des series de Poincare et des fonctions Zeta motiviques Rationalite des series de Poincare et des fonctions Zeta motiviques

2002-12-02

arxiv.org/abs/math/0212025v1

Mathematics

Algebraic Geometry

Scientific paper

If k is a field of characteristic 0, we prove that the motivic Poincare serie
and the motivic Zeta functions associated to a k[[t]]-variety, flat and purely
dimensional, are rational.

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