Ruida Di

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20232026

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math.NT2026

Covering Projective Height Balls by Subspaces in Rigid Adelic Spaces

Ruida Di, Runjie Hu

Let $E$ be an $n$ -dimensional rigid adelic space over a number field $K$ . We study the minimum number $g_{E} (R)$ of proper $K$ -subspaces needed to cover the projective height ball of…

math.NT2026

Effective Joint Equidistribution of Subspaces of Bounded Height in Rigid Adelic Spaces

Ruida Di

We prove an effective joint equidistribution theorem for $d$ -dimensional $K$ -subspaces, $1 \leq d < n$ , of a fixed $n$ -dimensional rigid adelic space over a number field $K$ . The param…

math.NT2023

Uniform Bogomolov Conjecture for Tori

Ruida Di

In this paper, we present a novel proof of the uniform Bogomolov conjecture for algebraic tori. To do this, we introduce a definition of non-degenerate subvarieties applicable to a…