Xiaodong Yi

collaborators

5 papers

math.AG2026

A finiteness result on representations of the profinite étale Nori fundamental group

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

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.AG2025

On the Tannakian group scheme of integrable connections

Xiaodong Yi

We give a counterexample showing that, over a field of characteristic $0$ , the Künneth formula does not hold for the Tannakian group scheme of all integrable connections.

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

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…

A finiteness result on representations of the profinite étale Nori fundamental group

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

On the Tannakian group scheme of integrable connections

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

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

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