Lingguang Li

collaborators

6 papers

math.AG2026

Varieties with prescribed fundamental group schemes

Lingguang Li, Hao Wang

We study the realization problem for Tannakian fundamental group schemes: given an affine $k$ -group scheme $G$ , when does there exist a smooth projective connected pointed $k$ -vari…

math.AG2026

On the number of Frobenius periodic vector bundles on elliptic curves

Lingguang Li, Niantao Tian

This paper counts Frobenius-periodic vector bundles on elliptic curves over an algebraically closed field of characteristic $p > 0$ . By translating the problem into continuous repres…

math.AG2026

The Birational Invariance Of Fundamental Group Schemes

Lingguang Li, Hao Wang

Let $k$ be a field, $f : X \to Y$ a birational morphism of integral connected schemes proper over $k$ with $Y$ normal, $x \in X (k)$ lying over $y \in Y (k)$ . For Tannakian cate…

math.AG2026

The Lefschetz Type Theorem For Fundamental Group Schemes

Lingguang Li, Niantao Tian

Let $k$ be a field, $X$ a connected scheme proper over $k$ , $D ⊊ X$ an ample effective connected divisor, $x \in D (k)$ . For Tannakian categories $C_{X}$ and $\mathca…

math.AG2026

The KÃ¼nneth Formula Of Fundamental Group Schemes

Lingguang Li, Niantao Tian

Let $k$ be a field, $f : X \to S$ a proper morphism between connected schemes proper over $k$ , $x \in X (k)$ lying over $s \in S (k)$ , $X_{s}$ the fibre of $f$ over $s$ , $\mathcal{C…

math.AG2026

The Base Change Of Fundamental Group Schemes

Lingguang Li, Niantao Tian

Let $k$ be a field, $K / k$ a field extension, $X$ a connected scheme proper over $k$ , $x_{K} \in X_{K} (K)$ lying over $x \in X (k)$ , $C_{X}$ and $C_{X_{K}}$ the Tannakian c…