Soit un domaine symétrique borné dans et soit un réseau arithmétique irréductible opérant librement sur . On démontre que la compactification cuspidale de est hyperbolique.
Let be a bounded symmetric domain in and an irreducible arithmetic lattice which operates freely on . We prove that the cusp–compactification of is hyperbolic.
@article{AIF_2000__50_1_197_0, author = {Oeljeklaus, Eberhard and Schmerling, Christina}, title = {Hyperbolicity properties of quotient surfaces by freely operating arithmetic lattices}, journal = {Annales de l'Institut Fourier}, volume = {50}, year = {2000}, pages = {197-210}, doi = {10.5802/aif.1751}, mrnumber = {2001j:32021}, zbl = {0952.32015}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_2000__50_1_197_0} }
Oeljeklaus, Eberhard; Schmerling, Christina. Hyperbolicity properties of quotient surfaces by freely operating arithmetic lattices. Annales de l'Institut Fourier, Tome 50 (2000) pp. 197-210. doi : 10.5802/aif.1751. http://gdmltest.u-ga.fr/item/AIF_2000__50_1_197_0/
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