Motivic Milnor fiber of a quasi-ordinary hypersurface

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González Pérez, Pedro Daniel and González Villa, Manuel (2014) Motivic Milnor fiber of a quasi-ordinary hypersurface. Journal für die reine und angewandte Mathematik, 687 . pp. 159-205. ISSN 0075-4102

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Official URL: http://www.degruyter.com/view/j/crelle.2014.2014.issue-687/crelle-2012-0049/crelle-2012-0049.xml




Abstract

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).


Item Type:Article
Uncontrolled Keywords:Ordinary singularities; algebraic-varieties; zeta-function; arc spaces; integration; conjecture; steenbrink; germs
Subjects:Sciences > Mathematics > Algebra
ID Code:24703
Deposited On:17 Mar 2014 12:09
Last Modified:14 May 2018 11:12

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