19 citations · 57 across the 5 of their papers we have counts for
11 papers
Boundedness of elliptic Calabi-Yau varieties with a rational section
Caucher Birkar, Gabriele Di Cerbo, Roberto Svaldi
We show that for each fixed dimension , the set of -dimensional klt elliptic varieties with numerically trivial canonical bundle is bounded up to isomorphism in codimen…
Birational boundedness of low dimensional elliptic Calabi-Yau varieties with a section
Gabriele Di Cerbo, Roberto Svaldi
We prove that there are finitely many families, up to isomorphism in codimension one, of elliptic Calabi-Yau manifolds with a rational section, provided that $\dim…
On Fujita's spectrum conjecture
Gabriele Di Cerbo
We prove Fujita's spectrum conjecture on the discreteness of pseudo-effective thresholds for polarized varieties.
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.…
Effective Matsusaka's Theorem for surfaces in characteristic p
Gabriele Di Cerbo, Andrea Fanelli
We obtain an effective version of Matsusaka's theorem for arbitrary smooth algebraic surfaces in positive characteristic, which provides an effective bound on the multiple which ma…
On Seshadri constants of varieties with large fundamental group
Gabriele Di Cerbo, Luca F. Di Cerbo
Let be a smooth variety and let be an ample line bundle on . If is large, we show that the Seshadri constant can be made arbitrarily large b…
A sharp cusp count for complex hyperbolic surfaces and related results
Gabriele Di Cerbo, Luca Fabrizio Di Cerbo
We derive a sharp cusp count for finite volume complex hyperbolic surfaces which admit smooth toroidal compactifications. We use this result, and the techniques developed in [DiC12…
Effective results for complex hyperbolic manifolds
Gabriele Di Cerbo, Luca F. Di Cerbo
The goal of this paper is to study the geometry of cusped complex hyperbolic manifolds through their compactifications. We characterize toroidal compactifications with non-nef cano…
Positivity in Kähler-Einstein theory
Gabriele Di Cerbo, Luca F. Di Cerbo
Tian initiated the study of incomplete Kähler-Einstein metrics on quasi-projective varieties with cone-edge type singularities along a divisor, described by the cone-angle $2π(1-α)…
A cohomological interpretation of Bogomolov's instability
Gabriele Di Cerbo
We give a new proof of Bogomolov's instability theorem. Furthermore we prove that it is equivalent to a statement which characterizes when the first cohomology group of a suitable…
Uniform bounds for the Iitaka fibration
Gabriele Di Cerbo
We give effective bounds for the uniformity of the Iitaka fibration. These bounds follow from an effective theorem on the birationality of some adjoint linear series. In particular…