6 papers
The Partial -estimate along a general continuity path and applications
Ke Feng, Liangming Shen
We establish a new partial -estimate along a continuity path mixed with conic singularities along a simple normal crossing divisor and a positive twisted -form on Fan…
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…
On the deformation of ball packings
Huabin Ge, Wenshuai Jiang, Liangming Shen
In this paper, we study the geometric aspects of ball packings on , where is a triangulation on a 3-manifold . We introduce a combinatorial Yamabe…
The Kähler-Ricci flow on pseudoconvex domains
Huabin Ge, Aijin Lin, Liangming Shen
We establish the existence of Kähler-Ricci flow on pseudoconvex domains with general initial metric without curvature bounds. Moreover we prove that this flow is simultaneously com…
Gradient flow of the norm squared of a moment map over Kahler manifolds
Aijin Lin, Liangming Shen
Inspired by Wilkin's work [23, 24] on Morse theory for the moduli space of Higgs bundles, we study the moduli space of gauged holomorphic maps by a heat flow approach in the spirit…
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…