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math.DG2023
The signature of geometrically decomposable aspherical 4-manifolds
Luca Fabrizio Di Cerbo, Marco Golla
We construct examples of geometrically decomposable aspherical 4-manifolds with non-zero signature. We show that all such 4-manifolds satisfy the inequality (of Bogomolov--Miyaoka-…
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.