V. Nguyen

activity

20052026

most citedExponential estimates for plurisubharmonic functions and stochastic dynamics

38 citations · 216 across the 39 of their papers we have counts for

collaborators

47 papers

math.CV2026

Siu's analyticity theorem for positive pluriharmonic currents

Tien-Cuong Dinh, Viet-Anh Nguyen, Duc-Bao Nguyen

Let $T$ be a positive $d d^{c}$ -closed current of bidimension $(q, q)$ on a compact Kähler manifold $X$ . For every $c > 0$ , let $E_{c} (T)$ be the set of points of $X$ where the Lelong numb…

math.CV2021

Positive plurisubharmonic currents: Generalized Lelong numbers and Tangent theorems

Viêt-Anh Nguyên

Dinh--Sibony theory of tangent and density currents is a recent but powerful tool to study positive closed currents. Over twenty years ago, Alessandrini and Bassanelli initiated th…

math.CV2020

Singular holomorphic foliations by curves. III: Zero Lelong numbers

Viet-Anh Nguyen

Let $F$ be a holomorphic foliation by curves defined in a neighborhood of $0$ in $C^{n}$ ( $n \geq 2$ ) having $0$ as a weakly hyperbolic singularity. Let $T$ be a po…

math.DS2020★ 11 cited

Ergodic theorems for laminations and foliations: recent results and perspectives

Viet-Anh Nguyen

This report discusses recent results as well as new perspectives in the ergodic theory for Riemann surface laminations, with an emphasis on singular holomorphic foliations by curve…

math.CV2019

Holomorphic sections of line bundles vanishing along subvarieties

Dan Coman, George Marinescu, Viêt-Anh Nguyên

Let $X$ be a compact normal complex space of dimension $n$ , and $L$ be a holomorphic line bundle on $X$ . Suppose $Σ = (Σ_{1}, \dots, Σ_{ℓ})$ is an $ℓ$ -tuple of distinct irreducible…

math.CV2018

Singular holomorphic foliations by curves II: Negative Lyapunov exponent

Viet-Anh Nguyen

Let \Fc be a holomorphic foliation by Riemann surfaces defined on a compact complex projective surface X satisfying the following two conditions: (1) the singular points of \Fc are…