On simple ideal hyperbolic Coxeter polytopes

Abstract

A polytope in the hyperbolic space $\H^n$ is called an {\it ideal polytope} if all its vertices belong to the boundary of $\H^n$. We prove that no simple ideal Coxeter polytope exist in $\H^n$ for $n>8$.

v2: the paper is slightly reorganized; many typos and some errors corrected. 15 pages, to appear in Izv. Math

Cited by in corpus (1)

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