Nonarithmetic uniformization of some real moduli spaces
In a previous paper [C. R. Math. Acad. Sci., Paris 337, No. 3, 185--188 (2003; Zbl 1055.14057)], the authors described the moduli space of stable real cubic surfaces as a quotient of a real hyperbolic space by a discrete non-arithmetic group. In the present paper, the authors give a more affordable example of a real moduli space which is homeomorphic to a real hyperbolic space modulo a non-arithmetic group. The example is built from the moduli space of stable real polynomials in two variables homogeneous of degree 6. The non-arithmeticity is proved in the spirit of \textit{M. Gromov} and \textit{I. I. Piatetski-Shapiro} [Publ. Math., Inst. Hautes Étud. Sci. 66, 93--103 (1988; Zbl 0649.22007)].
scientific article; zbMATH DE number 5154825