3 papers
math.DG2020
Deformation of Hermitian metrics
Man-Chun Lee, Ka-Fai Li
In this work, we study the deformation of Hermitian metrics with Chern connection. By adapting the conformal perturbation method of Aubin and Ehrlich to Hermitian setting, we prove…
math.DG2019
The K"ahler-Ricci flow with Log Canonical Singularities
Albert Chau, Huabin Ge, Ka-Fai Li +1
We establish the existence of the K"ahler-Ricci flow on projective varieties with log canonical singularities. This generalizes some of the existence results of Song-Tian \cite{ST3…
math.DG2017
Kähler-Ricci flow of cusp singularities on quasi projective varieties
Albert Chau, Ka-Fai Li, Liangming Shen
Let be a compact complex manifold with smooth Kähler metric , and let be a smooth divisor on . Let and let b…