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González Pérez, Pedro Daniel González Villa, Manuel 2023-06-19T13:23:17Z 2023-06-19T13:23:17Z 2014 0075-4102 10.1515/crelle-2012-0049 https://hdl.handle.net/20.500.14352/33478 https//doi.org/10.1515/crelle-2012-0049 http://www.degruyter.com/view/j/crelle.2014.2014.issue-687/crelle-2012-0049/crelle-2012-0049.xml http://arxiv.org/pdf/1105.2480v1.pdf 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). eng open access Motivic Milnor fiber of a quasi-ordinary hypersurface journal article