Xiaodong Yi

collaborators

5 papers

math.AG2026

On iterated universal extensions and Nori's fundamental group of nilpotent bundles

Xiaodong Yi

Let $k$ be a field of characteristic $0$ , $X$ be a geometrically connected, smooth and proper variety over $k$ and $x \in X (k)$ be a base point. Using the notion of iterated univers…

math.AG2026

A finiteness result on representations of Nori's fundamental group scheme

Xiaodong Yi

Let $(X, x)$ be a pointed geometrically connected smooth projective variety over a sub- $p$ -adic field $K$ . For any given rank $n$ , we prove that there are only finitely many isomorp…

math.AG2025

Generating systems, generalized Thomsen collections and derived categories of toric varieties

Xiaodong Yi

Bondal claims that for a smooth toric variety $X$ , its bounded derived category of coherent sheaves $D_{c}^{b} (X)$ is generated by the Thomsen collection $T (X)$ of line bundles obt…

math.AG2025

On the Tannakian group scheme of $D$ -modules

Xiaodong Yi

We prove a Lefschetz theorem for the Tannakian group scheme of $D$ -modules, in arbitrary characteristic. In characteristic $0$ , We prove a KÃ¼nneth formula for the Tannak…

math.AG2025

A note on cohomological boundedness for $F$ -divided sheaves and $D$ -modules

Xiaodong Yi

Let $X$ be a smooth proper scheme over an algebraically closed field $k$ in characteristic $p$ . In this short note, by interpreting $D_{X}$ -modules as $F$ -divided sheaves…

On iterated universal extensions and Nori's fundamental group of nilpotent bundles

A finiteness result on representations of Nori's fundamental group scheme

Generating systems, generalized Thomsen collections and derived categories of toric varieties

On the Tannakian group scheme of D-modules

A note on cohomological boundedness for F-divided sheaves and D-modules

On the Tannakian group scheme of $D$ -modules

A note on cohomological boundedness for $F$ -divided sheaves and $D$ -modules