H. Hein

activity

20182022

most citedClassification of asymptotically conical Calabi-Yau manifolds

1 citations · 1 across the 2 of their papers we have counts for

collaborators

Showing math.DGShow all

5 papers · 1 filter

math.DG2022★ 1 cited

Classification of asymptotically conical Calabi-Yau manifolds

Ronan J. Conlon, Hans-Joachim Hein

A Riemannian cone $(C, g_{C})$ is by definition a warped product $C = R^{+} \times L$ with metric $g_{C} = d r^{2} \oplus r^{2} g_{L}$ , where $(L, g_{L})$ is a compact Riemannian manifold…

math.DG2021

Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps

Xin Fu, Hans-Joachim Hein, Xumin Jiang

Let $L$ be a negative holomorphic line bundle over an $(n - 1)$ -dimensional complex torus $D$ . Let $h$ be a Hermitian metric on $L$ such that the curvature form of the dual Hermitian…

math.DG2019

The renormalized volume of a 4-dimensional Ricci-flat ALE space

Olivier Biquard, Hans-Joachim Hein

We introduce a natural definition of the renormalized volume of a 4-dimensional Ricci-flat ALE space. We then prove that the renormalized volume is always less or equal than zero,…

math.DG2018

Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces

Hans-Joachim Hein, Song Sun, Jeff Viaclovsky +1

We exhibit families of Ricci-flat Kahler metrics on K3 surfaces which collapse to an interval, with Tian-Yau and Taub-NUT metrics occurring as bubbles. There is a corresponding con…

math.DG2018

Higher-order estimates for collapsing Calabi-Yau metrics

Hans-Joachim Hein, Valentino Tosatti

We prove a uniform C^alpha estimate for collapsing Calabi-Yau metrics on the total space of a proper holomorphic submersion over the unit ball in C^m. The usual methods of Calabi,…