Yichao Tian

activity

20042025

most citedp-adic Cohomology and classicality of overconvergent Hilbert modular forms

27 citations · 76 across the 12 of their papers we have counts for

collaborators

Showing math.AGShow all

3 papers · 1 filter

math.AG2021

Finiteness and Duality for the cohomology of prismatic crystals

Yichao Tian

Let $(A, I)$ be a bounded prism, and $X$ be a smooth $p$ -adic formal scheme over $\Spf(A/I)$. We consider the notion of crystals on Bhatt--Scholze's prismatic site $(X/A)_{\prism}$…

math.AG2013★ 12 cited

On Goren-Oort stratification for quaternionic Shimura varieties

Yichao Tian, Liang Xiao

Let $F$ be a totally real field in which $p$ is unramified. We study the Goren-Oort stratification of the special fibers of quaternionic Shimura varieties over a place above $p$ . W…

math.AG2007

p-adic Monodromy of the Universal Deformation of a HW-cyclic Barsotti-Tate Group

Yichao Tian

Let k be an algebraically closed field of characteristic $p > 0$ , and $G_{0}$ be a Barsotti-Tate group (or $p$ -divisible group) over k. We denote by $S$ the "algebraic" local moduli in…