3 papers
math.DG2026
Liouville theorems and Evans-Krylov estimates
Yifan Chen, Hans-Joachim Hein, Ryan Mc Gowan
A classical idea in analysis going back at least to work of Simon (1997) is that Liouville theorems for solutions to elliptic or parabolic PDEs are equivalent to Schauder type regu…
math.DG2025
Collapsing immortal Kähler-Ricci flows
Hans-Joachim Hein, Man-Chun Lee, Valentino Tosatti
We consider the Kähler-Ricci flow on compact Kähler manifolds with semiample canonical bundle and intermediate Kodaira dimension, and show that the flow collapses to a canonical…
math.DG2025
A continuous cusp closing process for negative Kähler-Einstein metrics
Xin Fu, Hans-Joachim Hein, Xumin Jiang
We give an example of a family of smooth complex algebraic surfaces of degree in developing an isolated elliptic singularity. We show via a gluing construction…