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2005-10-11
On compact hyperbolic Coxeter d-polytopes with d+4 facets
Anna FeliksonPavel Tumarkin
文献摘要
We show that there is no compact hyperbolic Coxeter d-polytope with d+4 facets for d>7. This bound is sharp: examples of such polytopes up to dimension 7 were found by Bugaenko (1984). We also show that in dimension d=7 the polytope with 11 facets is unique.
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