%0 Journal Article %A González Pérez, Pedro Daniel %A González Villa, Manuel %T Motivic Milnor fiber of a quasi-ordinary hypersurface %D 2014 %@ 0075-4102 %U https://hdl.handle.net/20.500.14352/33478 %X Let f : (Cd+1, 0) -> (C, 0) be a germ of complex analytic function such that its zero level defines an irreducible germ of quasi-ordinary hypersurface (S, 0) subset of (Cd+1, 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 (S, 0) subset of (Cd+1, 0). %~