6 citations · 7 across the 8 of their papers we have counts for
10 papers
Scalar curvature bounds and tangent cones for Kähler--Ricci shrinkers
Yu Li, Junsheng Zhang
We prove a uniform scalar curvature bound, depending only on the dimension, for Kähler--Ricci shrinkers. We also prove that every noncompact Kähler--Ricci shrinker has a unique tan…
Finite time singularities of the Ricci flow on compact Kähler surfaces are of Type I
Charles Cifarelli, Ronan Conlon, Max Hallgren +1
For any volume-collapsing finite-time singularity of a Kähler-Ricci flow on a compact Kähler surface, we show the flow satisfies a Type I curvature bound and classify the correspon…
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…
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…
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…
On the geometry of non-collapsed polarized cscK surfaces
Junsheng Zhang, Keshu Zhou
We show that the Gromov--Hausdorff convergence of non-collapsed polarized constant scalar curvature Kähler (cscK) surfaces can be realized as convergence in a Hilbert scheme. We al…
Singular Kähler--Ricci shrinkers and polarized Fano fibrations
Max Hallgren, Junsheng Zhang
We prove that any singular Kähler--Ricci shrinker arising as a noncollapsed limit of Kähler--Ricci flows admits a natural structure of a polarized Fano fibration. We also show…
A note on the supercritical deformed Hermitian-Yang-Mills equation
Junsheng Zhang
We show that on a compact Kähler manifold all real -classes admitting solutions to the supercritical deformed Hermitian-Yang-Mills equation form a both open and closed subse…
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…
Hermitian-Yang-Mills connections on some complete non-compact Kähler manifolds
Junsheng Zhang
We give an algebraic criterion for the existence of projectively Hermitian-Yang-Mills metrics on a holomorphic vector bundle over some complete non-compact Kähler manifolds $(X…