Qi Yao

collaborators

3 papers

math.DG2026

Uniqueness of scalar-flat ALE Kähler metrics

Qi Yao

We study uniqueness of scalar-flat Kähler metrics in a fixed Kähler class on an asymptotically locally Euclidean (ALE) Kähler manifold, assuming only differentiated $o (1)$ decay to…

math.DG2026

On the Local Regularity of Homogeneous Complex Monge-Ampère Equations

Qi Yao

We establish a local higher regularity theorem for the homogeneous complex Monge-Ampere equation on $X \times D$ , where $X$ is a complete, possibly noncompact Kahler manifold and $D…

math.AP2025

Asymptotic Behavior of Homogeneous Complex Monge-Ampere Equations on ALE Kahler manifolds

Qi Yao

This paper is a sequel to the author's earlier work and investigates the homogeneous complex Monge--Ampere equation (HCMA) on the product space $X \times D$ , where $X$ is an asympt…