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Matthew Zevenbergen

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Preprint Oct 2026

Arithmetic hyperbolic manifolds with bounded rank

We prove that closed arithmetic hyperbolic $n$-manifolds of bounded rank have bounded adjoint trace field degree, and consequently have lower bounded injectivity radius. From this, we obtain a number of corollaries. In particular, we obtain that closed arithmetic hyperbolic $3$-manifolds of bounded rank are contained i...

Matthew Zevenbergen · 0 citations