Embedding arithmetic hyperbolic manifolds

@article{Kolpakov2017EmbeddingAH,
  title={Embedding arithmetic hyperbolic manifolds},
  author={Alexander Kolpakov and Alan W. Reid and Leone Slavich},
  journal={Mathematical Research Letters},
  year={2017},
  volume={25},
  pages={1305-1328}
}
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 mod 2 abelian cover can. 
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