JournalscmhVol. 85, No. 2pp. 417–461

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

  • Tadashi Ashikaga

    Tohoku Gakuin University, Tagajo, Japan
Local signature defect of fibered complex surfaces via monodromy and stable reduction cover
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Abstract

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.

Cite this article

Tadashi Ashikaga, Local signature defect of fibered complex surfaces via monodromy and stable reduction. Comment. Math. Helv. 85 (2010), no. 2, pp. 417–461

DOI 10.4171/CMH/201