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Series de Poincare motiviques geometrique et arithmetique d'un germe d'hypersurface irreductible quasi-ordinaire

Guillaume Rond
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Abstract

We give here a description of the motivic Poincare series in case of irreducible quasi-ordinary hypersurfaces in all dimension. We give an explicit formula in a particular case. Finally, for such singularities, we give a constructive proof of a result of rationnality of such series proved by Denef and Loeser in all generality.

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Guillaume Rond. 2005-09-23. Series de Poincare motiviques geometrique et arithmetique d'un germe d'hypersurface irreductible quasi-ordinaire. https://arxiv.org/abs/math/0502216

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