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

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

2005-02-10

arxiv.org/abs/math/0502216v2

Mathematics

Algebraic Geometry

new version, parts 5 and 6 were wrong

Scientific paper

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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