Motivic Milnor fiber of a quasi-ordinary hypersurface
  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 $(S,0)$. 
Pedro Daniel Gonzalez Perez (DPTO. ALGEBRA UCM), Manuel Gonz\'alez   Villa (DPTO. ALGEBRA UCM)
math.AG