Mathematics – Algebraic Geometry
Scientific paper
2003-03-30
Mathematics
Algebraic Geometry
4 pages, one figure
Scientific paper
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.
Allcock Daniel
Carlson James A.
Toledo Domingo
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