Jit WU Yap

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20182026

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math.NT2026

Finiteness of an Isogeny Class via Equidistribution

Jit Wu Yap

In a very recent, beautiful paper, Junyi Xie and Ziquan Yang gave a new proof of Faltings' isogeny theorem over number fields by reducing to Tate's theorem over finite fields. We s…

math.NT2026

Uniform boundedness of small points on abelian varieties over function fields

Nicole Looper, Jit Wu Yap

Let $k$ be a field of characteristic $0$ and let $K = k (B)$ be the function field of a geometrically irreducible projective curve $B$ over $k$ . Let $A / K$ be a $g$ -dimensional abeli…

math.NT2026

On the pointwise convergence of the number of abelian varieties over $F_{p}$ with fixed trace

Zhao Yu Ma, Jit Wu Yap, Jeff Achter +1

Extending Katz-Sarnak heuristics, Ballini-Lombardo-Verzobio [BLV25] conjectures a limiting distribution as $p \to \infty$ for $# A_{g} (F_{p}, t)$ , the number of $g$ -dimensional…

math.NT2025

A quantitative dynamical Zhang fundamental inequality and Bogomolov-type problems

Niki Myrto Mavraki, Jit Wu Yap

We prove a quantitative version of Zhang's fundamental inequality for heights attached to polarizable endomorphisms. As an application, we obtain a gap principle for the Néron-Tate…

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.NT2025

On the Number of Small Points for Rational Maps

Jit Wu Yap

Let $K$ be a number field and $f : P^{1} \to P^{1}$ a rational map of degree $d \geq 2$ with at most $s$ places of bad reduction, where we include all archimedean plac…

Finiteness of an Isogeny Class via Equidistribution

Uniform boundedness of small points on abelian varieties over function fields

On the pointwise convergence of the number of abelian varieties over Fp​ with fixed trace

A quantitative dynamical Zhang fundamental inequality and Bogomolov-type problems

Lower Bounds for Galois Orbits of periodic points for polarized endomorphisms

On the Number of Small Points for Rational Maps

On the pointwise convergence of the number of abelian varieties over $F_{p}$ with fixed trace