Yujie Xu

collaborators

2 papers

math.AG2025

$p$ -integrability

Yujie Xu

In this short note, we prove the equivalence of Grothendieck-Katz $p$ -curvature Conjecture with Conjecture F in Ekedahl-Shepherd-Barron-Taylor. More precisely, we show that Conject…

math.NT2025

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…

p-integrability

Prismatic F-Gauges and Fontaine--Laffaille modules

$p$ -integrability

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