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Hyperbolic orbifolds of minimal volume

Kellerhals, Ruth

In: Computational Methods and Function Theory, 2014, p. 1–17

We provide a survey of hyperbolic orbifolds of minimal volume, starting with the results of Siegel in two dimensions and with the contributions of Gehring, Martin and others in three dimensions. For higher dimensions, we summarise some of the most important results, due to Belolipetsky, Emery and Hild, by discussing related features such as hyperbolic Coxeter groups, arithmeticity and...