Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Singularities — Niigata–Toyama 2007, J.-P. Brasselet, S. Ishii, T. Suwa and M. Vaquie, eds. (Tokyo: Mathematical Society of Japan, 2009), 1 - 34
A divisor on the moduli space of curves associated to the signature of fibered surfaces (with an appendix by Kazuhiro Konno)
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.
Received: 31 March 2008
Revised: 8 November 2008
First available in Project Euclid: 28 November 2018
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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