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math.DG2016
Systole of congruence coverings of arithmetic hyperbolic manifolds
Plinio G. P. Murillo
In this paper we prove that, for any arithmetic hyperbolic -manifold of the first type, the systole of most of the principal congruence coverings satisfy $$sys_{1}(M…
math.DG2016★ 7 cited
On growth of systole along congruence coverings of Hilbert modular varieties
Plinio G. P. Murillo
We study how the systole of principal congruence coverings of a Hilbert modular variety grows when the degree of the covering goes to infinity. We prove that given a Hilbert modula…