Series de Poincare motiviques geometrique et arithmetique d'un germe d'hypersurface irreductible quasi-ordinaire - Archive ouverte HAL Access content directly
Journal Articles Asterisque Year : 2009

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

Guillaume Rond

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.

Dates and versions

hal-03456001 , version 1 (29-11-2021)

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Guillaume Rond. Series de Poincare motiviques geometrique et arithmetique d'un germe d'hypersurface irreductible quasi-ordinaire. Asterisque, 2009. ⟨hal-03456001⟩
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