Local signature defect of fibered complex surfaces via monodromy and stable reduction

被引：6

作者：

Ashikaga, Tadashi ^{[1
]}

机构：

[1] Tohoku Gakuin Univ, Fac Engn, Tagajo, Miyagi 9858537, Japan

来源：

COMMENTARII MATHEMATICI HELVETICI | 2010年 / 85卷 / 02期

关键词：

Signature; fibered surface; monodromy; eta invariant; stable reduction; signature defect; HYPERELLIPTIC PENCILS; RIEMANNIAN GEOMETRY; SPECTRAL ASYMMETRY; SPLITTING FAMILIES; KODAIRA DIMENSION; BASE CHANGES; CURVES; THEOREM; CLASSIFICATION; SINGULARITIES;

D O I：

10.4171/CMH/201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the localization problem of signature of a fibered complex surface. In this paper, we analyze the contribution of topological monodromy to the local signature of a fiber germ. In order to realize it, we describe explicitly the behavior of Atiyah-Patodi-Singer's eta invariant under the stable reduction of a fiber germ in terms of Nielsen's data.

引用

页码：417 / 461

页数：45

共 56 条

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