Compact hyperbolic Coxeter n-polytopes with n+3 facets

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dc.creatorTumarkin, Pavel
dc.date2004-06-11
dc.date2007-05-09
dc.date.accessioned2026-07-07T08:47:33Z
dc.date.available2026-07-07T08:47:33Z
dc.descriptionWe use methods of combinatorics of polytopes together with geometrical and computational ones to obtain the complete list of compact hyperbolic Coxeter n-polytopes with n+3 facets, 3<n<8. Combined with results of Esselmann (1994), Andreev (1970) and Poincare (1882) this gives the classification of all compact hyperbolic Coxeter n-polytopes with n+3 facets.
dc.descriptionv4: paper is rewritten. Complete proofs added, errors corrected. 36 pages, a lot of figures
dc.identifierhttps://arxiv.org/abs/math/0406226
dc.identifierhttp://arxiv.org/abs/math/0406226
dc.identifierElectron. J. Combin. 14 (2007), R69
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143637
dc.subjectMetric Geometry
dc.subjectGroup Theory
dc.subject51M20; 51F15; 20F55
dc.titleCompact hyperbolic Coxeter n-polytopes with n+3 facets
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