75 citations · 199 across the 15 of their papers we have counts for
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math.DG2021
Asymptotically Calabi metrics and weak Fano manifolds
Hans-Joachim Hein, Song Sun, Jeff Viaclovsky +1
We show that any asymptotically Calabi manifold which is Calabi-Yau can be compactified complex analytically to a weak Fano manifold. Furthermore, the Calabi-Yau structure arises f…
math.DG2021
Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps
Xin Fu, Hans-Joachim Hein, Xumin Jiang
Let be a negative holomorphic line bundle over an -dimensional complex torus . Let be a Hermitian metric on such that the curvature form of the dual Hermitian…
math.DG2021★ 5 cited
Smooth asymptotics for collapsing Calabi-Yau metrics
Hans-Joachim Hein, Valentino Tosatti
We prove that Calabi-Yau metrics on compact Calabi-Yau manifolds whose Kahler classes shrink the fibers of a holomorphic fibration have a priori estimates of all orders away from t…