93 citations · 507 across the 31 of their papers we have counts for
19 papers · 1 filter
Kähler structures for holomorphic submersions
Chi Li
In this short paper, for any holomorphic submersion , we derive a criterion for to have Kähler structures. This criterion generalizes Blanchard's criterion f…
Canonical Kähler metrics and stability of algebraic varieties
Chi Li
We survey some recent developments in the study of canonical Kähler metrics on algebraic varieties and their relation with stability in algebraic geometry.
Notes on weighted Kähler-Ricci solitons and application to Ricci-flat Kähler cone metrics
Chi Li
This is largely an exposition article that expands the author's talk at the Xiamen International Conference on Geometric Analysis in June 2021. We first survey the author's joint w…
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…
Geodesic rays and stability in the cscK problem
Chi Li
We prove that any finite energy geodesic ray with a finite Mabuchi slope is maximal in the sense of Berman-Boucksom-Jonsson, and reduce the proof of the uniform Yau-Tian-Donaldson…
G-uniform stability and Kähler-Einstein metrics on Fano varieties
Chi Li
Let be any -Fano variety and be the identity component of the automorphism group of . Let be a connected reductive subgroup of $…