%0 Journal Article
%T Motivic Milnor fiber of a quasi-ordinary hypersurface
%A Pedro Daniel Gonzalez Perez
%A Manuel Gonz¨˘lez Villa
%J Mathematics
%D 2011
%I arXiv
%X Let $f$ be a germ of complex analytic function at $({\mathbf{C}}^{d+1}, 0)$ such that its zero level defines an irreducible germ of quasi-ordinary hypersurface $(S,0)$. We describe the motivic Igusa zeta function, the motivic Milnor fibre and the Hodge-Steenbrink spectrum of $f$ at 0 in terms of topological invariants of the quasi-ordinary hypersurface $(S,0)$.
%U http://arxiv.org/abs/1105.2480v1