Jia-Hong Yu

activity

20242026

collaborators

3 papers

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…

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

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