Khai-Hoan Nguyen-Dang

activity

20242026

collaborators

18 papers

math.AG2026

Torsion, Betti rank, and small points in semiabelian schemes

Khai-Hoan Nguyen-Dang

Let $G \to S$ be a semiabelian scheme over a smooth complex algebraic base, with abelian relative dimension $g$ and toric rank $r$ . We prove that a dominating irreducible s…

math.CO2026

Chern flow and Chern moment algebras

Khai-Hoan Nguyen-Dang, Zhenpeng Wang

We construct realizable-volume models over every field for the factorial normalizations of homogeneous Lascoux, Lascoux-atom, and positive Grothendieck packets, including their min…

math.NT2026

Ribet Points, geometric divisibility sequence and order of reductions on semiabelian varieties

Khai-Hoan Nguyen-Dang

Silverman conjectured that the geometric divisibility sequence attached to a Zariski-dense point on an irreducible commutative algebraic group of dimension at least two, with no un…

math.NT2026

Rigid analytic 1-motives and conjugate uniformization of abeloid varieties

Khai-Hoan Nguyen-Dang, Xu Shen, Heer Zhao

Let $K$ be a $p$ -adic field. We study the arithmetic theory of abeloid varieties over $K$ . Our aims are twofold. First, we study the theory of rigid analytic 1-motives, which will…

math.CO2026

Richardson volume models for skew Schur and skew Schur $P / Q$ -functions

Khai-Hoan Nguyen-Dang, with an Appendix by Zhenpeng Wang

We identify ordinary skew Schur polynomials and skew Schur $P$ -functions as top-degree total-Chern intersection polynomials on Richardson varieties in ordinary and Lagrangian Grass…

math.NT2026

Counterexamples of Friedlander--Iwaniec dual sums conjecture

Khai-Hoan Nguyen-Dang

Let $a (n)$ and $b (n)$ be arithmetic sequences, and $A (s) = n \geq 1 \sum a (n) n^{- s}, B (s) = n \geq 1 \sum b (n) n^{- s},$ be the two Dirichlet series related by a certain functional…

Torsion, Betti rank, and small points in semiabelian schemes

Chern flow and Chern moment algebras

Ribet Points, geometric divisibility sequence and order of reductions on semiabelian varieties

Rigid analytic 1-motives and conjugate uniformization of abeloid varieties

Richardson volume models for skew Schur and skew Schur P/Q-functions

Counterexamples of Friedlander--Iwaniec dual sums conjecture

Richardson volume models for skew Schur and skew Schur $P / Q$ -functions