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math.DG2013
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…
math.DG2012★ 16 cited
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…
math.DG2012
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)…