Yujie Xu

activity

20212025

most citedOn the Hodge embedding for PEL type integral models of Shimura varieties

1 citations · 2 across the 4 of their papers we have counts for

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math.NT2024

Prismatic $F$ -Gauges and Fontaine--Laffaille modules

Gleb Terentiuk, Vadim Vologodsky, Yujie Xu

Let $k$ be a perfect field of characteristic $p$ and $W (k)$ its ring of Witt vectors. We construct an equivalence of categories between the full subcategory of the derived category…

math.NT2021★ 1 cited

On the Hodge embedding for PEL type integral models of Shimura varieties

Yujie Xu

We give a simple proof that Kottwitz's PEL type integral models of Shimura varieties admit closed embeddings into Siegel integral models. We also show that Rapoport's and Kottwitz'…

math.NT2021★ 1 cited

Finiteness of fppf cohomology

Yujie Xu

Let $R$ be a Henselian DVR with finite residue field. Let $G$ be a finite type, flat $R$ -group scheme (not necessarily commutative) with smooth generic fiber. We show that $H^1_{\m…

Prismatic F-Gauges and Fontaine--Laffaille modules

On the Hodge embedding for PEL type integral models of Shimura varieties

Finiteness of fppf cohomology

Prismatic $F$ -Gauges and Fontaine--Laffaille modules