Diameter estimates in Kähler geometry

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Complex Monge-Ampère operators (32W20) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Cites Work

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The Kähler-Ricci flow through singularities
Monge-Ampère equations in big cohomology classes
On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype
Heat kernel estimates and lower bound of eigenvalues
On the structure of spaces with Ricci curvature bounded below. I
The complex Monge-Ampère equation
The local entropy along Ricci flow part A: the no-local-collapsing theorems
On the singularities of spaces with bounded Ricci curvature
Contracting exceptional divisors by the Kähler-Ricci flow
On collapsing Calabi-Yau fibrations
Local noncollapsing for complex Monge-Ampère equations
Geometric estimates for complex Monge-Ampère equations
The Kähler-Ricci flow on surfaces of positive Kodaira dimension
Diameter estimates for long-time solutions of the Kähler-Ricci flow
Canonical measures and Kähler-Ricci flow
Bounding scalar curvature for global solutions of the Kähler-Ricci flow
On degenerate Monge-Ampere equations over closed Kahler manifolds
A Priori L -Estimates for Degenerate Complex Monge-Ampere Equations
DEGENERATE COMPLEX MONGE–AMPÈRE EQUATIONS OVER COMPACT KÄHLER MANIFOLDS
Scalar Curvature Bound for Kahler-Ricci Flows over Minimal Manifolds of General Type
On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
Convergence of Kähler–Ricci Flow on Lower-Dimensional Algebraic Manifolds of General Type
The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits
Contracting exceptional divisors by the Kähler-Ricci flow II
Determinant majorization and the work of Guo-Phong-Tong and Abja-Olive
On \(L^\infty\) estimates for complex Monge-Ampère equations