Duc-Viet Vu

activity

20122026

most citedSuper-potentials, densities of currents and number of periodic points for holomorphic maps

18 citations · 40 across the 35 of their papers we have counts for

collaborators

Showing 2023Show all

8 papers · 1 filter

math.CV2023

Log continuity of solutions of complex Monge-Ampère equations

Hoang-Son Do, Duc-Viet Vu

Let $X$ be a compact Kähler manifold whose anticanonical cohomology class is semipositive. Let $L$ be a big and semi-ample line bundle on $X$ and $α$ be the Chern class of $L$ . We…

math.CV2023

Continuity of functions in complex Sobolev spaces

Duc-Viet Vu

We study the continuity regularity of functions in the complex Sobolev spaces. As applications, we obtain Hermitian generalizations of a recent result due Guedj-Guenancia-Zeriahi o…

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.DG2023

Kähler--Einstein metrics on quasi-projective manifolds

Quang-Tuan Dang, Duc-Viet Vu

Let $X$ be a compact Kähler manifold and $D$ be a simple normal crossing divisor on $X$ such that $K_{X} + D$ is big and nef. We first prove that the singular Kähler--Einstein metric c…

math.AG2023

Derivative of volumes of big cohomology classes

Duc-Viet Vu

We prove that the partial derivative of the volume function of big classes along any real divisor in a compact Kaehler manifold is equal to the numerical restricted volume of that…

math.CV2023

Lebesgue points of functions in the complex Sobolev space

Gabriel Vigny, Duc-Viet Vu

Let $φ$ be a function in the complex Sobolev space $W^{*} (U)$ , where $U$ is an open subset in $C^{k}$ . We show that the complement of the set of Lebesgue points of $φ$ is plur…