Lingguang Li

activity

20102026

most citedOn a Conjecture of Lan-Sheng-Zuo on Semistable Higgs Bundles: Rank 3 Case

3 citations · 9 across the 16 of their papers we have counts for

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Showing 2026Show all

5 papers · 1 filter

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

Hecke curves in Frobenius strata of moduli space of rank 2 vector bundles

Lingguang Li, Hongyi Zhang

Let $k$ be an algebraically closed field with characteristic $2$ , and let $X$ be a smooth projective algebraic curve of genus $g ⩾ 2$ over $k$ . Let $\mathcal{M}^s_X(2,\math…

math.AG2026

The Künneth 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…