Embedding arithmetic hyperbolic manifolds

Abstract

We prove that any arithmetic hyperbolic $n$-manifold of simplest type can either be geodesically embedded into an arithmetic hyperbolic $(n+1)$-manifold or its universal $\mathrm{mod}2$ Abelian cover can.

20 pages; revised version, typos corrected; Mathematical Research Letters vol. 25, no. 4

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• The signature of cusped hyperbolic 4-manifolds
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