Hao Wang

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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

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…