Kellerhals, Ruth 2014-06-18 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 consequences of Prasad’s volume, as well as canonical cusps, crystallography and packing densities. We also present some new results about volume minimisers in dimensions six and eight related to Bugaenko’s cocompact arithmetic Coxeter groups. application/pdf https://folia.unifr.ch/global/documents/303775 https://folia.unifr.ch/documents/303775/files/kel_hom.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s40315-014-0074-y info:eu-repo/semantics/openAccess License undefined Computational Methods and Function Theory. - 2014, p. 1–17 Hyperbolic orbifold Minimal volume Coxeter group Arithmetic group info:eu-repo/classification/udc/51 Hyperbolic orbifolds of minimal volume http://purl.org/coar/resource_type/c_6501