18 citations · 22 across the 5 of their papers we have counts for
11 papers · 1 filter
Bergman kernel functions associated to measures supported on totally real submanifolds
George Marinescu, Duc-Viet Vu
We prove that the Bergman kernel function associated to a smooth measure supported on a piecewise-smooth maximally totally real submanifold K in C^n is of polynomial growth (e.g, i…
Loss of mass of non-pluripolar products
Duc-Viet Vu
It is a well-known fact that the non-pluripolar self-products of a closed positive (1,1)-current in a big nef cohomology class on a compact Kahler manifold are not of full mass in…
Density currents and relative non-pluripolar products
Duc-Viet Vu
We compare the notion of relative non-pluripolar products and that of density currents on compact Kahler manifolds.
On the set of divisors with zero geometric defect
Dinh Tuan Huynh, Duc-Viet Vu
Let be a transcendental holomorphic curve into a complex projective manifold . Let be a very ample line bundle on . Let be a very generic holomo…
Densities of currents and complex dynamics
Duc-Viet Vu
We extend the Dinh-Sibony notion of densities of currents to the setting where the ambient manifold is not necessarily Kähler and study the intersection of analytic sets from the p…
Equilibrium measures of meromorphic self-maps on non-Kahler manifolds
Duc-Viet Vu
Let be a compact complex non-Kähler manifold and a dominant meromorphic self-map of . Examples of such maps are self-maps of Hopf manifolds, Calabi-Eckmann manifolds, no…