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 2024Show all

4 papers · 1 filter

math.DG2024

Uniform diameter estimates for Kaehler metrics in big cohomology classes

Duc-Bao Nguyen, Duc-Viet Vu

We generalize previous diameter estimates and local non-vanishing of volumes for Kaehler metrics to the case of big cohomology classes. In our proof, among other things, we will pr…

math.DG2024

Uniform diameter estimates for Kaehler metrics

Duc-Viet Vu

We prove a uniform diameter estimate and a uniform local non-collapsing of volumes for a large family of Kaehler metrics generalizing those obtained recently by Guo-Phong-Song-Stur…

math.CV2024

Quantitative stability for the complex Monge-Ampère equations I

Hoang-Son Do, Duc-Viet Vu

We generalize several known stability estimates for complex Monge-Ampère equations to the setting of low (or high) energy potentials. We apply our estimates to obtain, among other…

math.CV2024

Volumes of components of Lelong upper level sets II

Shuang Su, Duc-Viet Vu

Let $X$ be a compact Kähler manifold of dimension $n$ , and let $T$ be a closed positive $(1, 1)$ -current in a nef cohomology class on $X$ . We establish an optimal upper bound for th…