X. Qu

activity

20242026

collaborators

3 papers

math.NT2026

Rational Hodge--Tate prismatic crystals of quasi-l.c.i algebras and non-abelian $p$ -adic Hodge theory

Xiaoyu Qu, Jiahong Yu

Consider a bounded prism $(A, I)$ and a bounded quasi-l.c.i algebra $R$ over $A$ . In this paper, for any prism $S / A$ with a surjection $S \to R$ such that $\widehat{\mathb…

math.AG2025

A stacky $p$ -adic Riemann--Hilbert correspondence on Hitchin-small locus

Yudong Liu, Chenglong Ma, Xiecheng Nie +2

Let $C$ be an algebraically closed perfectoid field over $Q_{p}$ with the ring of integer $O_{C}$ and the infinitesimal thickening $\Ainf$. Let $X$ be a se…

math.AG2024

A stacky nilpotent $p$ -adic Riemann-Hilbert correspondence

Yudong Liu, Chenglong Ma, Xiecheng Nie +1

Let $X$ be a smooth rigid variety over $C = C_{p}$ admitting a lift $X$ over $B_{d R}^{+}$ . In this paper, we use the stacky language to prove a nilpotent $p$ -adic Riema…

Rational Hodge--Tate prismatic crystals of quasi-l.c.i algebras and non-abelian p-adic Hodge theory

A stacky p-adic Riemann--Hilbert correspondence on Hitchin-small locus

A stacky nilpotent p-adic Riemann-Hilbert correspondence

Rational Hodge--Tate prismatic crystals of quasi-l.c.i algebras and non-abelian $p$ -adic Hodge theory

A stacky $p$ -adic Riemann--Hilbert correspondence on Hitchin-small locus

A stacky nilpotent $p$ -adic Riemann-Hilbert correspondence