Real Cubic Surfaces and Real Hyperbolic Geometry

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 37π^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.
4 pages, one figure

Keywords

Algebraic Geometry, 14P25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/66940

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303374
 http://arxiv.org/abs/math/0303374

Collections

arXiv