3 papers
math.MG2019
On the systole growth in congruence quaternionic hyperbolic manifolds
Vincent Emery, Inkang Kim, Plinio G. P. Murillo
We provide an explicit lower bound for the sytole in principal congruence covers of compact quaternionic hyperbolic manifolds. We also prove the optimality of this lower bound.
math.GT2018
Hyperbolic manifolds and pseudo-arithmeticity
Vincent Emery, Olivier Mila
We introduce and motivate a notion of pseudo-arithmeticity, which possibly applies to all lattices in with . We further show that under an additional assump…
math.KT2015
On the torsion part in the K-theory of imaginary quadratic fields
Vincent Emery
We obtain upper bounds for the torsion in the -groups of the ring of integers of imaginary quadratic number fields, in terms of their discriminants.