18 citations · 40 across the 35 of their papers we have counts for
44 papers
Big and nef cohomology classes on compact Kähler spaces
Duc-Viet Vu
We first prove a version of the Demailly-Paun theorem for compact weakly Kaehler spaces. Secondly, for a big and nef Bott-Chern class on a compact normal Kaehler space, we prove th…
Positivity of Smooth Currents on Singular Spaces
Duc-Thai Do, Duc-Viet Vu
We study two notions of positivity for smooth currents on singular spaces. We show that they are not equivalent by establishing a necessary condition on the fourth Whitney cones. W…
Quantitative hyperbolicity for complex manifolds via numerical invariants
Tien-Cuong Dinh, Duc-Bao Nguyen, Duc-Viet Vu
We introduce numerical invariants called hyperbolic indices, which measure the hyperbolicity of compact Kähler manifolds using directed positive closed currents. We prove that if a…
Singularity of non-pluripolar cohomology classes
Duc-Bao Nguyen, Shuang Su, Duc-Viet Vu
We establish a relation between Lelong numbers and the full mass property of relative non-pluripolar products. We use this relation to prove that if the restricted volume of a big…
A survey on asymptotic equilibrium distribution of zeros of random holomorphic sections
George Marinescu, Duc-Viet Vu
This is a survey of results concerning the asymptotic equilibrium distribution of zeros of random holomorphic polynomials and holomorphic sections of high powers of a positive line…
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…