Tien-Cuong Dinh

activity

20002025

collaborators

5 papers

math.NT2025

Lower Bounds for Galois Orbits of periodic points for polarized endomorphisms

Jit Wu Yap, Tien-Cuong Dinh

Let $K$ be a number field, $X$ a smooth projective variety over $K$ and $f : X \to X$ a polarized endomorphism of degree $d \geq 2$ . We prove an exponential lower bound on $[K(\Per_…

math.AG2025

Continuity of the superpotentials and slices of tropical currents

Farhad Babaee, Tien Cuong Dinh

We study the question of the continuity of slices of currents and explain how it relates to several seemingly unrelated problems in tropical geometry. On the one hand, through this…

math.DS2024

Exponential equidistribution of periodic points for endomorphisms of $P^{k}$

Henry de Thélin, Tien-Cuong Dinh, Lucas Kaufmann

Let $f$ be a holomorphic endomorphism of $P^{k}$ of algebraic degree $d \geq 2$ . We show that the periodic points of $f$ of period $n$ equidistribute towards the equilibrium m…

math.CV2002

Polynomial hulls and positive currents

T. C. Dinh

Let T be a positive plurisubharmonic current of bidimension (p,p) and let $δ > 0$ . Assume that the Lelong number of T satisfies $ν (T, a) \geq δ$ on a dense subset of supp(T) (rectifiab…

math.CV2000

On the Lattes maps of P^k