3 papers
math.DG2025
Remarks on Singular Kähler-Einstein Metrics
Max Hallgren, Gábor Székelyhidi
We study two different natural notions of singular Kähler-Einstein metrics on normal complex varieties. In the setting of singular Ricci flat Kähler cone metrics that arise as no…
math.DG2025
On Kähler-Einstein Currents
Yifan Chen, Shih-Kai Chiu, Max Hallgren +3
We show that a general class of singular Kähler metrics with Ricci curvature bounded below define Kähler currents. In particular the result applies to singular Kähler-Einstein m…
math.DG2024
Singular Kähler-Einstein metrics and RCD spaces
Gábor Székelyhidi
We study Kähler-Einstein metrics on singular projective varieties. We show that under an approximation property with constant scalar curvature metrics, the metric completion of th…