T. Truong

activity

20062026

most citedRelative dynamical degrees of correspondences over a field of arbitrary characteristic

43 citations · 239 across the 66 of their papers we have counts for

collaborators

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10 papers · 1 filter

math.CV2025

Uniqueness of tangent currents for positive closed currents

Viet-Anh Nguyen, Tuyen Trung Truong

Let $X$ be a complex manifold $X$ of dimension $k,$ and let $V \subset X$ be a Kähler submanifold of dimension $l,$ and let $B \subset V$ be a piecewise $C^{2}$ -smooth domain…

math.CV2019

The Monge-Ampere operator of some singular (1,1) currents coming from pseudo-isomorphisms in dimension $3$

Tuyen Trung Truong

A wide and natural class of closed currents - which are differences of positive closed currents - can be constructed by pulling back smooth closed forms using rational maps. These…

math.CV2014★ 1 cited

Least negative intersections of positive closed currents on compact Kähler manifolds

Tuyen Trung Truong

Let $X$ be a compact Kähler manifold of dimension $k$ . Let $R$ be a positive closed $(p, p)$ current on $X$ , and $T_{1}, \dots, T_{k - p}$ be positive closed $(1, 1)$ currents on $X$ . We…

math.CV2014

Complex Monge-Ampere operators via pseudo-isomorphisms: the well-defined cases

Tuyen Trung Truong

Let $X$ and $Y$ be compact Kähler manifolds of dimension $3$ . A bimeromorphic map $f : X \to Y$ is pseudo-isomorphic if $f : X - I (f) \to Y - I (f^{- 1})$ is an isomorphism. Le…

math.CV2014★ 1 cited

Pseudo-isomorphisms in dimension $3$ and applications to complex Monge-Ampere equation

Tuyen Trung Truong

Let $X$ and $Y$ be compact Kähler manifolds of dimension $3$ . A bimeromorphic map $f : X \to Y$ is pseudo-isomorphic if $f : X - I (f) \to Y - I (f^{- 1})$ is an isomorphism. In…

math.CV2013

Geometric properties of upper level sets of Lelong numbers on projective spaces

Dan Coman, Tuyen Trung Truong

Let $T$ be a positive closed current of unit mass on the complex projective space $P^{n}$ . For certain values $α < 1$ , we prove geometric properties of the set of points in $\m…

math.CV2009

Local growth of pluri-subharmonic functions

Tuyen Trung Truong

We obtain two-bound estimates for the local growth of pluri-subharmonic functions in terms of Siciak and relative extremal functions. As applications, we give simple new proofs of…

math.CV2008

Note on potential theory for functions in Hardy classes

Tuyen Trung Truong

The purpose of this note is to show that the set functions defined in \cite{trong-tuyen} can be suitably extended to all subsets $E$ of the unit disk $D$ . In particular we…

math.CV2008★ 1 cited

Nearly-optimal estimates for the stability problem in Hardy spaces

Dang Duc Trong, Tuyen Trung Truong

We continue the work of \cite{TLNT}. Let $E$ be a non-Blaschke subset of the unit disc $D$ of the complex plane $C$ . Fixed $1 \leq p \leq \infty$ , let $H^p(\mathbb{…

math.CV2007

The growth at infinity of a sequence of entire functions of bounded orders

Dang Duc Trong, Truong Trung Tuyen

In this paper we shall consider the growth at infinity of a sequence $(P_{n})$ of entire functions of bounded orders. Our results extend the results in \cite{trong-tuyen2} for the gr…

Uniqueness of tangent currents for positive closed currents

The Monge-Ampere operator of some singular (1,1) currents coming from pseudo-isomorphisms in dimension 3

Least negative intersections of positive closed currents on compact Kähler manifolds

Complex Monge-Ampere operators via pseudo-isomorphisms: the well-defined cases

Pseudo-isomorphisms in dimension 3 and applications to complex Monge-Ampere equation

Geometric properties of upper level sets of Lelong numbers on projective spaces

Local growth of pluri-subharmonic functions

Note on potential theory for functions in Hardy classes

Nearly-optimal estimates for the stability problem in Hardy spaces

The growth at infinity of a sequence of entire functions of bounded orders

The Monge-Ampere operator of some singular (1,1) currents coming from pseudo-isomorphisms in dimension $3$

Pseudo-isomorphisms in dimension $3$ and applications to complex Monge-Ampere equation