Showing papers on "Arithmetic group published in 2003"
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TL;DR: The moduli space of stable real cubic surfaces is the quotient of real hyperbolic four-space by a discrete, nonarithmetic group as discussed by the authors, and the volumes of these components are computed in the metric of constant curvature -1.
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.
4 citations
1 Jan 2003
TL;DR: In this paper, the Morava K-theories with respect to the prime p for the etale model of the classifying space were described for the case p = 3 and m = 2.
Abstract: We completely describe the Morava K-theories with respect to the prime p for the etale model of the classifying space of \( G{L_m}\left( {\mathbb{Z}\left[ {\sqrt[p]{1},1/p} \right]} \right)\) when p is an odd regular prime.For p = 3 and m = 2 (and conjecturally for m = ∞) these cohomologies are the same as those of the classifying space itself.
1 citations