4 papers · 2 filters
An -Regularity Theorem for Non-collapsed Ricci Flow
Harry Fluck, Max Hallgren
In this article we prove an -regularity theorem for non-collapsed Ricci flows, and use this to prove new estimates for singularity models of Fano Kähler-Ricci flows. In the cour…
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 non-…
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 metr…
Non-collapsed finite time singularities of the Ricci flow on compact Kähler surfaces are of Type I
Ronan J. Conlon, Max Hallgren, Zilu Ma
We show that any non-collapsed finite time singularity of the Ricci flow on a compact Kähler surface is of Type I. Combined with a previous result of the first author, Cifarelli, a…