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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)…
math.DG2012
On Kähler-Einstein surfaces with edge singularities
Luca Fabrizio Di Cerbo
In this paper we characterize logarithmic surfaces which admit Kähler-Einstein metrics with negative scalar curvature and small edge singularities along a normal crossing divisor.