Real Cubic Surfaces and Real Hyperbolic Geometry
Algebraic Geometry
2007-05-23 v1
Abstract
The moduli space of stable real cubic surfaces is the quotient of real hyperbolic four-space by a discrete, nonarithmetic group. The volume of the moduli space is 37\pi^2/1080 in the metric of constant curvature -1. Each of the five connected components of the moduli space can be described as the quotient of real hyperbolic four-space by a specific arithmetic group. We compute the volumes of these components.
Cite
@article{arxiv.math/0303374,
title = {Real Cubic Surfaces and Real Hyperbolic Geometry},
author = {Daniel Allcock and James A. Carlson and Domingo Toledo},
journal= {arXiv preprint arXiv:math/0303374},
year = {2007}
}
Comments
4 pages, one figure