18 citations · 40 across the 35 of their papers we have counts for
4 papers · 1 filter
Non-collapsing volume estimate for local Kähler metrics in big cohomology classes
Thai Duong Do, Duc-Bao Nguyen, Duc-Viet Vu
We prove a uniform local non-collapsing volume estimate for a large family of singular metrics in the big cohomology classes, which are Kähler on an open Euclidean subset of the ma…
Uniform diameter estimates for Kaehler metrics in big cohomology classes
Duc-Bao Nguyen, Duc-Viet Vu
We generalize previous diameter estimates and local non-vanishing of volumes for Kaehler metrics to the case of big cohomology classes. In our proof, among other things, we will pr…
Uniform diameter estimates for Kaehler metrics
Duc-Viet Vu
We prove a uniform diameter estimate and a uniform local non-collapsing of volumes for a large family of Kaehler metrics generalizing those obtained recently by Guo-Phong-Song-Stur…
Kähler--Einstein metrics on quasi-projective manifolds
Quang-Tuan Dang, Duc-Viet Vu
Let be a compact Kähler manifold and be a simple normal crossing divisor on such that is big and nef. We first prove that the singular Kähler--Einstein metric c…