71 citations · 539 across the 32 of their papers we have counts for
33 papers
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…
Bubbling of Kähler-Einstein metrics
Song Sun
We prove the finite step termination of bubble trees for singularity formation of polarized Kähler-Einstein metrics in the non-collapsing situation. We also raise several questions…
No semistability at infinity for Calabi-Yau metrics asymptotic to cones
Song Sun, Junsheng Zhang
We discover a "no semistability at infinity" phenomenon for complete Calabi-Yau metrics asymptotic to cones, by eliminating the possible appearance of an intermediate K-semistable…
Asymptotically Calabi metrics and weak Fano manifolds
Hans-Joachim Hein, Song Sun, Jeff Viaclovsky +1
We show that any asymptotically Calabi manifold which is Calabi-Yau can be compactified complex analytically to a weak Fano manifold. Furthermore, the Calabi-Yau structure arises f…
Collapsing geometry of hyperkähler 4-manifolds and applications
Song Sun, Ruobing Zhang
We investigate the collapsing geometry of hyperkähler 4-manifolds. As applications we prove two well-known conjectures in the field. (1) Any collapsed limit of unit-diameter hyperk…
A Liouville theorem on asymptotically Calabi spaces
Song Sun, Ruobing Zhang
In this paper, we will study harmonic functions on the complete and incomplete spaces with nonnegative Ricci curvature which exhibit inhomogeneous collapsing behaviors at infinity.…