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Motivic milnor Fiber of a quasi-ordinary hypersurface

González Pérez, Pedro Daniel and González Villa, Manuel (2012) Motivic milnor Fiber of a quasi-ordinary hypersurface. Journal für die reine und angewandte Mathematik . ISSN 0075-4102 (Unpublished)

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Official URL: http://www.degruyter.com/view/j/crelle.ahead-of-print/crelle-2012-0049/crelle-2012-0049.xml

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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) _ (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) _ (Cd+1, 0).


Item Type:Article
Uncontrolled Keywords:Quasi-ordinary singularities, Motivic Igusa zeta function, Topological zeta function,Hodge-Steenbrink spectrum
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:12861
Deposited On:16 Jun 2011 07:08
Last Modified:06 Feb 2014 09:34

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