3 papers
math.DG2024
On polynomial convergence to tangent cones for singular Kähler-Einstein metrics
Junsheng Zhang
Let be a pointed Gromov-Hausdorff limit of non-collapsing Kähler-Einstein metrics with uniformly bounded Ricci curvature. We show that the singular Kähler-Einstein metric o…
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.
math.DG2022
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…