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

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29 papers · 1 filter

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.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…

math.CV2018★ 1 cited

Unique Ergodicity for foliations on compact Kähler surfaces

Tien-Cuong Dinh, Viet-Anh Nguyen, Nessim Sibony

Let \Fc be a holomorphic foliation by Riemann surfaces on a compact Kähler surface X. Assume it is generic in the sense that all the singularities are hyperbolic and that the folia…