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math.DG2026
Compact Kähler surfaces with semipositive anticanonical bundle
Yifan Chen, Simion Filip, Song Sun +2
We classify compact Kähler surfaces with semipositive anticanonical bundle. In particular, we resolve a question of Demailly--Peternell--Schneider: any blowup of at…
math.DG2026
ALH Gravitational Instantons and Rational Surfaces
Yifan Chen, Chunhui Wei
We construct complete ALH hyperkähler metrics on complements of anticanonical elliptic curves with zero self-intersection in smooth rational surfaces. This answers the existence qu…
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 metr…