16 citations · 32 across the 17 of their papers we have counts for
6 papers · 1 filter
On the Hopf Problem and a Conjecture of Liu-Maxim-Wang
Luca F. Di Cerbo, Rita Pardini
We discuss an approach towards the Hopf problem for aspherical smooth projective varieties recently proposed by Liu, Maxim, and Wang in [LMW21]. In complex dimension two, we point…
Exceptional collections and the bicanonical map of Keum's fake projective planes
Gennaro Di Brino, Luca F. Di Cerbo
We apply the recent results of Galkin et al. [GKMS15] to study some geometrical features of Keum's fake projective planes. Among other things, we show that the bicanonical map of K…
Classification and arithmeticity of toroidal compactifications with
Luca F. Di Cerbo, Matthew Stover
We classify the minimum volume smooth complex hyperbolic surfaces that admit smooth toroidal compactifications, and we explicitly construct their compactifications. There are five…
Multiple realizations of varieties as ball quotient compactifications
Luca F. Di Cerbo, Matthew Stover
We study the number of distinct ways in which a smooth projective surface can be realized as a smooth toroidal compactification of a ball quotient. It follows from work of Hirz…
On the canonical divisor of smooth toroidal compactifications
Gabriele Di Cerbo, Luca F. Di Cerbo
In this paper, we show that the canonical divisor of a smooth toroidal compactification of a complex hyperbolic manifold must be nef if the dimension is greater or equal to three.…
On the classification of toroidal compactifications with and
Luca Fabrizio Di Cerbo
We classify the smallest finite volume complex hyperbolic surfaces with cusps which admit smooth toroidal compactifications and which are not birational to a bi-elliptic surface. R…