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arXiv · 1105.2480

Motivic Milnor fiber of a quasi-ordinary hypersurface

Pedro Daniel Gonzalez Perez·Manuel González Villa
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Abstract

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 $(S,0)$.

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Pedro Daniel Gonzalez Perez, Manuel González Villa. 2011-05-12. Motivic Milnor fiber of a quasi-ordinary hypersurface. https://arxiv.org/abs/1105.2480

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