Hyperbolic Coxeter n-polytopes with n+2 facets

Abstract

In this paper, we classify all the hyperbolic non-compact Coxeter polytopes of finite volume combinatorial type of which is either a pyramid over a product of two simplices or a product of two simplices of dimension greater than one. Combined with results of Kaplinskaja (1974) and Esselmann (1996) this completes the classification of hyperbolic Coxeter n-polytopes of finite volume with n+2 facets.

14 pages, 1 figure, 13 tables; v2: a mistake in the diagram of the last 9-dimensional pyramid corrected, nothing else changed

Cited by in corpus (3)

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