T. Truong

collaborators

6 papers

math.AG2026

On the structure and generic non-Cartesianity of polynomials in product spaces

Chun-Yen Shen, Tuyen Trung Truong, Wei-Hsuan Yu

We develop a general theory of Cartesian and non-Cartesian polynomials on products of complex spaces $C^{n_{1}} \times \dots \times C^{n_{k}}$ . We prove that, for an…

math.DS2025

Standard conjecture D and some conjectures around Weil's Riemann hypothesis

Tuyen Trung Truong

Let $X$ be a smooth projective variety defined on a finite field $F_{q}$ . On $X$ there is a special morphism $F r_{X}$ , which raises coordinates to exponent $q$ : $t \mapsto t^{q}$ …

math.OC2025

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee

Tuyen Trung Truong

In this paper, we introduce some new iterative optimisation algorithms on Riemannian manifolds and Hilbert spaces which have good global convergence guarantees to local minima. Mor…

math.AG2025

Tate's question, Standard conjecture D, semisimplicity and Dynamical degree comparison conjecture

Fei Hu, Tuyen Trung Truong, Junyi Xie

Let $X$ be a smooth projective variety of dimension $n$ over the algebraic closure of a finite field $F_{p}$ . Assuming the standard conjecture $D$ , we prove a weaker form of…

math.DS2025

Backtracking New Q-Newton's method for finding roots of meromorphic functions in 1 complex variable: Global convergence, and local stable/unstable curves

John Erik FornÃ¦ss, Mi Hu, Tuyen Trung Truong

In this paper, we research more in depth properties of Backtracking New Q-Newton's method (recently designed by the third author), when used to find roots of meromorphic functions.…

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 KÃ¤hler submanifold of dimension $l,$ and let $B \subset V$ be a piecewise $C^{2}$ -smooth domai…