Advanced Studies in Pure Mathematics

A divisor on the moduli space of curves associated to the signature of fibered surfaces (with an appendix by Kazuhiro Konno)

Tadashi Ashikaga and Ken-Ichi Yoshikawa

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Abstract

In this note, we study the problem of localizing the signature of a fibered surface, i.e., a compact complex surface equipped with the structure of a fiber space over a compact Riemann surface. As applications, we give an estimate for the number of critical points and a formula for the Horikawa index for a certain class of fibered surfaces.

Article information

Source
Singularities — Niigata–Toyama 2007, J.-P. Brasselet, S. Ishii, T. Suwa and M. Vaquie, eds. (Tokyo: Mathematical Society of Japan, 2009), 1-34

Dates
Received: 31 March 2008
Revised: 8 November 2008
First available in Project Euclid: 28 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543448008

Digital Object Identifier
doi:10.2969/aspm/05610001

Mathematical Reviews number (MathSciNet)
MR2604073

Zentralblatt MATH identifier
1196.14024

Keywords
Signature fibered surface moduli space of curves localization

Citation

Ashikaga, Tadashi; Yoshikawa, Ken-Ichi. A divisor on the moduli space of curves associated to the signature of fibered surfaces (with an appendix by Kazuhiro Konno). Singularities — Niigata–Toyama 2007, 1--34, Mathematical Society of Japan, Tokyo, Japan, 2009. doi:10.2969/aspm/05610001. https://projecteuclid.org/euclid.aspm/1543448008


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