Jia-Hong Yu

activity

20242026

collaborators

9 papers

math.AG2026

A $p$ -adic Riemann--Hilbert correspondence over Robba rings

Zekun Chen, Ruochuan Liu, Yupeng Wang +2

We construct overconvergent period sheaves $O C^{I, †}$ and $O B_{dR}^{†, +}$ on the $v$ -site of a liftable semi-…

math.AG2026

On the Surjectivity of the Geometric Sen Map of Perfectoid Torsors

Tian Qiu, Jiahong Yu

We study surjectivity of the geometric Sen map for perfectoid $G$ -torsors over smooth rigid analytic spaces over $C_{p}$ , where $G$ is a compact $p$ -adic Lie group. We const…

math.AG2026

Lift-independence problem in the $p$ -adic Simpson correspondence for curves

Xiangyu Pan, Jiahong Yu

Let $X$ be a proper smooth rigid analytic variety over a complete algebraically closed $p$ -adic field $C$ . Fix a continuation $Exp$ of $exp$ . Faltings, in t…

math.AC2026

On some open problems in commutative algebra resolved by Rethlas

Jiedong Jiang, Yixiao Li, Zeming Sun +3

We report on a collection of open problems in commutative algebra and related areas that have been resolved (proved or disproved) using the Rethlas natural-language automated reaso…

math.AG2026

Almost Vector Bundles over Perfectoid Spaces

Yuntong Cui, Guo Li, Shuhan Jiang +1

In this paper, we define vector bundles within the framework of almost mathematics (referred to as almost vector bundles) and establish the $v$ -descent theorem together with a stru…

math.NT2025

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.AG2024

A Conjecture of Bhatt--Lurie and weakly $p$ -nilpotent Hodge--Tate stacks

Jiahong Yu

Let $k$ be a perfect field of characteristic $p$ , and let $X / k$ be a smooth variety. It is known that given a Frobenius lifting of $X$ , we can identify prismatic crystals and nilpo…

math.AG2024

Prismatic Crystals for schemes in characteristic $p$

Jiahong Yu

Let $(A, δ_{A})$ be a crystalline prism and let $X$ be a finite type $A / p$ -scheme admitting a Koszul-regular closed immersion into a smooth formal $A$ -scheme $Y$ . We constru…

math.AG2024

On smooth adic spaces over $B_{dR}^{+}$ and sheafified $p$ -adic Riemann--Hilbert correspondence

Jiahong Yu

Let $C$ be a completely algebraic closed non-archimedean field over $Q_{p}$ and $α, r$ be two positive integers. Denote by $B_{α}$ the ring $\mathbb{B}_{\mathrm{dR}}^+(C)/(\ker…

A p-adic Riemann--Hilbert correspondence over Robba rings

On the Surjectivity of the Geometric Sen Map of Perfectoid Torsors

Lift-independence problem in the p-adic Simpson correspondence for curves

On some open problems in commutative algebra resolved by Rethlas

Almost Vector Bundles over Perfectoid Spaces

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

A Conjecture of Bhatt--Lurie and weakly p-nilpotent Hodge--Tate stacks

Prismatic Crystals for schemes in characteristic p

On smooth adic spaces over BdR+​ and sheafified p-adic Riemann--Hilbert correspondence

A $p$ -adic Riemann--Hilbert correspondence over Robba rings

Lift-independence problem in the $p$ -adic Simpson correspondence for curves

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

A Conjecture of Bhatt--Lurie and weakly $p$ -nilpotent Hodge--Tate stacks

Prismatic Crystals for schemes in characteristic $p$

On smooth adic spaces over $B_{dR}^{+}$ and sheafified $p$ -adic Riemann--Hilbert correspondence