5 citations · 10 across the 4 of their papers we have counts for
4 papers
Monge-Ampère measures of bounded potentials
Duc-Viet Vu
Let be a compact Kähler manifold and let be a non-pluripolar measure on . We give a necessary and sufficient condition for so that the complex Monge-Ampère equation…
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…
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…
Complex Monge-Ampère equation for measures supported on real submanifolds
Duc-Viet Vu
Let be a compact -dimensional Kähler manifold on which the integral of is . Let be an immersed real submanifold of such that the tangent…