5 citations · 11 across the 5 of their papers we have counts for
5 papers
Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties
Jiyuan Han, Chi Li
We prove that for any -Fano variety , the special -test configuration that minimizes the -functional is unique and has a K-semistable -Fan…
On the Yau-Tian-Donaldson conjecture for generalized Kähler-Ricci soliton equations
Jiyuan Han, Chi Li
Let be a log variety with an effective holomorphic torus action, and be a closed positive -current. For any smooth positive function defined on the moment p…
Existence and compactness theory for ALE scalar-flat Kähler surfaces
Jiyuan Han, Jeff A. Viaclovsky
Our main result in this article is a compactness result which states that a noncollapsed sequence of asymptotically locally Euclidean (ALE) scalar-flat Kähler metrics on a minimal…
Local moduli of scalar-flat Kähler ALE surfaces
Jiyuan Han, Jeff A. Viaclovsky
In this article, we give a survey of our construction of a local moduli space of scalar-flat Kähler ALE metrics in complex dimension . We also prove an explicit formula for the…
Deformation theory of scalar-flat Kähler ALE surfaces
Jiyuan Han, Jeff A. Viaclovsky
We prove a Kuranishi-type theorem for deformations of complex structures on ALE Kähler surfaces. This is used to prove that for any scalar-flat Kähler ALE surface, all small deform…