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math.DG2021
On the impossibility of four-dimensional complex-hyperbolic Einstein Dehn filling
Luca F. Di Cerbo, Marco Golla
We show that the complex-hyperbolic Einstein Dehn filling compactification cannot possibly be performed in dimension four.
math.DG2021
Generalized Graph Manifolds, Residual Finiteness, and the Singer Conjecture
Luca F. Di Cerbo, Michael Hull
We prove the Singer conjecture for extended graph manifolds and pure complex-hyperbolic higher graph manifolds with residually finite fundamental groups. In real dimension three, w…