Gleb Terentiuk

activity

20192026

collaborators

3 papers

math.AG2026

Ogus-Vologodsky equivalence via stacks

Gleb Terentiuk

Using the relative de Rham stack for a family $X \to S$ in characteristic $p,$ we reprove the (local and global) Ogus-Vologodsky equivalence. Moreover, we observe that a lift of $S…

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.AG2019

Chern Classes via Derived Determinant

Gleb Terentiuk

Motivated by the Chern-Weil theory, we prove that for a given vector bundle $E$ on a smooth scheme $X$ over a field $k$ of any characteristic, the Chern classes of $E$ in the Hodge…

Ogus-Vologodsky equivalence via stacks

Prismatic F-Gauges and Fontaine--Laffaille modules

Chern Classes via Derived Determinant

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