Qi Yao

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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…