On the smallest poles of topological zeta functions

被引：6

作者：

Segers, D ^{[1
]}

Veys, W ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Wiskunde, B-3001 Louvain, Belgium

来源：

COMPOSITIO MATHEMATICA | 2004年 / 140卷 / 01期

关键词：

topological zeta function; resolution of singularities; log canonical threshold;

D O I：

10.1112/S0010437X03000344

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the local topological zeta function associated to a complex function that is holomorphic at the origin of C-2 (respectively C-3). We determine all possible poles less than -1/2 (respectively -1). On C-2 our result is a generalization of the fact that the log canonical threshold is never in]5/6,1[. Similar statements are true for the motivic zeta function.

引用

页码：130 / 144

页数：15

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