3 papers
math.DG2026
Some uniform estimates for Kähler--Ricci Shrinkers
Junsheng Zhang
In this paper, we establish several uniform estimates for Kähler--Ricci shrinkers without imposing any curvature assumptions. In particular, we prove: 1. a uniform lower bound for…
math.DG2026
On compact steady pluriclosed soliton surfaces
Junsheng Zhang, Keshu Zhou
We complete the classification of non-Kähler steady pluriclosed soliton on compact complex surfaces, as initiated by Streets. The underlying complex structure must be a Hopf surfac…
math.DG2026
Gromov-Hausdorff Limits of Noncollapsed Kähler-Ricci Flows and the Geometry of Ricci Shrinkers
Yu Li, Junsheng Zhang
We study the metric geometry of finite-time singularities of volume-noncollapsed Kähler-Ricci flows and the geometry at infinity of Ricci shrinkers. For a compact volume-noncollaps…