Journal of Differential Geometry
- J. Differential Geom.
- Volume 67, Number 2 (2004), 195-228.
On the Arakelov Geometry of Moduli Spaces of Curves
Abstract
In this paper we compute the asymptotics of the natural metric on the line bundle over the moduli space ℳ g associated to the algebraic cycle C–C – in the jacobian Jac C of a smooth projective curve C of genus g ≥ 3. The asymptotics are related to the structure of the mapping class group of a genus g surface.
Article information
Source
J. Differential Geom., Volume 67, Number 2 (2004), 195-228.
Dates
First available in Project Euclid: 8 December 2004
Permanent link to this document
https://projecteuclid.org/euclid.jdg/1102536200
Digital Object Identifier
doi:10.4310/jdg/1102536200
Mathematical Reviews number (MathSciNet)
MR2153077
Zentralblatt MATH identifier
1118.14029
Citation
Hain, Richard; Reed, David. On the Arakelov Geometry of Moduli Spaces of Curves. J. Differential Geom. 67 (2004), no. 2, 195--228. doi:10.4310/jdg/1102536200. https://projecteuclid.org/euclid.jdg/1102536200
