Runjie Hu

collaborators

6 papers

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.AT2026

$Q_{p}$ -Homotopy Types and Applications to Topology and Algebraic Geometry

Runjie Hu, Guozhen Wang

We develop a $Q_{p}$ -homotopy theory for $p$ -complete spaces. To a $p$ -complete space $X$ , we associate a commutative differential graded algebra over $Q_{p}$ by rect…

math.GR2026

Continuous Mal'cev Qp-Completion of Pro-p Groups

Runjie Hu, Guozhen Wang

We give three explicit constructions of the continuous Mal'cev Qp-completion of a topologically finitely generated pro-p group, using Tannakian formalism, Hopf algebras and p-adic…

math.AG2026

Non-liftable varieties via etale cohomology rings

Runjie Hu, Siqing Zhang

We construct a smooth projective variety in positive characteristic whose $Q_{ℓ}$ -coefficient etale cohomology ring is not the scalar extension of any graded $\mathbb{Q…

math.AT2025

A necessary condition for liftings of positive characteristic varieties with finite fundamental groups

Ruida Di, Runjie Hu, Siqing Zhang

In this paper, we introduce a necessary condition for the existence of characteristic zero liftings of certain smooth, proper varieties in positive characteristic, using etale homo…