Motivic Milnor fiber of a quasi-ordinary hypersurface

被引：4

作者：

Gonzalez Perez, Pedro D. ^{[1
]}

Gonzalez Villa, Manuel ^{[2
]}

机构：

[1] Univ Complutense Madrid, Fac Math, Dept Algebra, E-28040 Madrid, Spain

[2] Heidelberg Univ, Math Ctr Heidelberg Match, D-69120 Heidelberg, Germany

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2014年 / 687卷

关键词：

ZETA-FUNCTION; ARC SPACES; SINGULARITIES; GERMS;

D O I：

10.1515/crelle-2012-0049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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).

引用

页码：159 / 205

页数：47

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