Hyperbolicity properties of quotient surfaces by freely operating arithmetic lattices

Oeljeklaus, Eberhard; Schmerling, Christina

doi:10.5802/aif.1751

Oeljeklaus, Eberhard ; Schmerling, Christina

Annales de l'Institut Fourier, Tome 50 (2000) no. 1, pp. 197-210.

Résumé
Abstract

Soit $D$ un domaine symétrique borné dans $ℂ^{2}$ et soit $Γ \subset {Aut}^{0} D$ un réseau arithmétique irréductible opérant librement sur $D$ . On démontre que la compactification cuspidale de $G / Γ$ est hyperbolique.

Let $D$ be a bounded symmetric domain in $ℂ^{2}$ and $Γ \subset {Aut}^{0} D$ an irreducible arithmetic lattice which operates freely on $D$ . We prove that the cusp–compactification $\bar{X}$ of $X = D / Γ$ is hyperbolic.

MR Zbl

DOI : 10.5802/aif.1751

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     title = {Hyperbolicity properties of quotient surfaces by freely operating arithmetic lattices},
     journal = {Annales de l'Institut Fourier},
     pages = {197--210},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {50},
     number = {1},
     year = {2000},
     doi = {10.5802/aif.1751},
     mrnumber = {2001j:32021},
     zbl = {0952.32015},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.1751/}
}

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Oeljeklaus, Eberhard; Schmerling, Christina. Hyperbolicity properties of quotient surfaces by freely operating arithmetic lattices. Annales de l'Institut Fourier, Tome 50 (2000) no. 1, pp. 197-210. doi : 10.5802/aif.1751. http://www.numdam.org/articles/10.5802/aif.1751/

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