We prove that the Gromov–Hausdorff compactification of the moduli space of Kähler–
Einstein Del Pezzo surfaces in each degree agrees with certain algebro-geometric …

We prove the existence of a Kähler–Einstein metric on a K–stable Fano manifold using the
recent compactness result on Kähler–Ricci flows. The key ingredient is an algebrogeometric …

We consider the evolution of a Hermitian metric on a compact complex manifold by its Chern-
Ricci form. This is an evolution equation first studied by M. Gill, and coincides with the Kähler …

We give a criterion under which a solution g (t) of the Kähler–Ricci flow contracts exceptional
divisors on a compact manifold and can be uniquely continued on a new manifold. As t …

We exhibit the first non-trivial concrete examples of Gromov-Hausdorff compactifications of
moduli spaces of K\" ahler-Einstein Fano manifolds in all complex dimensions bigger than …

It is a long-standing problem to establish the existence of Kähler-Einstein metrics on Fano
manifolds since Yau's solution for the Calabi conjecture in late 70s. It is also one of driving …

These notes give an introduction to the Kähler–Ricci flow. We give an exposition of a
number of well-known results including: maximal existence time for the flow, convergence …

Based on the compactness of the moduli of non-collapsed Calabi–Yau spaces with mild
singularities, we set up a structure theory for polarized Kähler Ricci flows with proper …

An introduction to the Kähler-Ricci flow Lecture Notes in Mathematics 2086 Sébastien
Boucksom Philippe Eyssidieux Vincent Guedj Editors An Introduction to the Kähler-Ricci Flow …

We consider the evolution of an almost Hermitian metric by the (1, 1) part of its Chern–Ricci
form on almost complex manifolds. This is an evolution equation first studied by Chu and …