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).
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页码：159 / 205
页数：47
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