93 citations · 507 across the 31 of their papers we have counts for
34 papers
K-unstable Toric Varieties and Secondary Polytopes
Chi Li, Li Sheng, Yi Yao
For K-unstable toric varieties, Székelyhidi's optimal test-function is a mysterious concave function over the moment polytope , which gives the maximal destabilizer for…
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.
Polarized Hodge Structures for Clemens Manifolds
Chi Li
Let be a Calabi-Yau threefold. A conifold transition first contracts along disjoint rational curves with normal bundles of type , and then smooth the resulting sin…
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…
K-stability and Fujita approximation
Chi Li
We derive a formula for non-Archimedean Monge-Ampère measures of big models. As applications, we derive a positive intersection formula for non-Archimedean Mabuchi functional, and…