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math.DG2025
On the local topology of non-collapsed Ricci bounded limit spaces
Song Sun, Jikang Wang, Junsheng Zhang
We show that for a pointed Gromov-Hausdorff limit of non-collapsed Riemannian manifolds with bounded Ricci curvature, the local of the regular loci vanishes. We also discuss…
math.DG2024
Kähler-Ricci shrinkers and Fano fibrations
Song Sun, Junsheng Zhang
In this paper, we build connections between Kähler-Ricci shrinkers, i.e., complete (possibly non-compact) shrinking gradient Kähler-Ricci solitons, and algebraic geometry. In parti…
math.DG2023
On the generalized numerical criterion
Sean Timothy Paul, Song Sun, Junsheng Zhang
In this note, we give examples that demonstrate a negative answer to the generalized numerical criterion problem for pairs.