Yu Shen

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20242026

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math.AG2026

A counterexample to a global-dimension bound for weighted projective lines

Bochao Kong, Yeqin Liu, Yu Shen

We observe that standard derived equivalences give a counterexample to a conjecture of Kalck on global dimension for weighted projective lines. For the root stack $X=\mathbb{P}^1\l…

math.AG2025

Picard group action on the category of twisted sheaves

Ting Gong, Yeqin Liu, Yu Shen

In this paper, we study the category of twisted sheaves over a scheme $X$ . Let $M$ be a quasi-coherent sheaf on $X$ , and $I^\pm$ in $Br (X)$ . We show that the…

math.AG2025

Morita theory of twisted sheaves on $I^¼_{n}$ -gerbes of line bundles

Yeqin Liu, Yu Shen

We study Morita theory of twisted sheaves on $I^¼_{n}$ -gerbes of line bundles $X$ . In this context, we find explicit equivalent conditions for when two Azumaya algebras on…

math.AG2024

Stability conditions on surface root stacks

Yeqin Liu, Yu Shen

We construct tilt stability conditions on surface root stacks and show that they have support property with respect to the rational Chen-Ruan cohomology.

math.AG2024

Derived Category of certain maximal order on $P^{2}$

Yu Shen

We show that the moduli space of $A$ -line bundles with minimal second Chern class is a fine moduli space, where $A$ is a maximal quaternion order on $P^{2}$ ramified along…

A counterexample to a global-dimension bound for weighted projective lines

Picard group action on the category of twisted sheaves

Morita theory of twisted sheaves on I^¼n​-gerbes of line bundles

Stability conditions on surface root stacks

Derived Category of certain maximal order on P2

Morita theory of twisted sheaves on $I^¼_{n}$ -gerbes of line bundles

Derived Category of certain maximal order on $P^{2}$