Duc‐Viet Vu

activity

20162023

most citedRelative non-pluripolar products of currents

5 citations · 10 across the 4 of their papers we have counts for

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math.CV2023

Equidistribution for non-pluripolar currents on compact Kähler manifolds

Taeyong Ahn, Duc-Viet Vu

Let $X$ be a compact Kähler manifold of complex dimension $k \geq 2$ and $f : X \to X$ a surjective holomorphic endomorphism of simple action on cohomology. We prove that the sequence o…

math.CV2023

Monge-Ampère measures of bounded potentials

Duc-Viet Vu

Let $X$ be a compact Kähler manifold and let $μ$ be a non-pluripolar measure on $X$ . We give a necessary and sufficient condition for $μ$ so that the complex Monge-Ampère equation…

math.CV2022★ 1 cited

Quantitative stability for the complex Monge-Ampere equations

Hoang-Son Do, Duc-Viet Vu

We prove several quantitative stability estimates for solutions of complex Monge-Ampere equations when both the cohomology class and the prescribed singularity vary. In a broad sen…

math.CV2020★ 5 cited

Relative non-pluripolar products of currents

Duc-Viet Vu

Given a closed positive current T on a compact Kahler manifold X, we introduce the notion of non-pluripolar product relative to T of closed positive (1,1)-currents. We recover the…

math.CV2016★ 4 cited

Complex Monge-Ampère equation for measures supported on real submanifolds

Duc-Viet Vu

Let $(X, ω)$ be a compact $n$ -dimensional Kähler manifold on which the integral of $ω^{n}$ is $1$ . Let $K$ be an immersed real $C^{3}$ submanifold of $X$ such that the tangent…