Jiahong Yu

collaborators

7 papers

math.AG2026

Prismatic Crystals for schemes in characteristic $p$

Jiahong Yu

Let $(A, I^´_{A})$ 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 constr…

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 field $p$ -adic field $C$ . Fix an continuation $Exp$ of $exp$ . Faltings (in…

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.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.AG2026

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 $I^\pm, r$ be two positive integers. Denote by $B_{I^} \pm$ the ring $\mathbb{B}_{\mathrm{dR}}^+(C)/(\k…

Prismatic Crystals for schemes in characteristic p

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

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

Prismatic Crystals for schemes in characteristic $p$

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

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