Yeqin Liu

activity

20242026

collaborators

6 papers

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.RA2026

A counterexample to Han's conjecture

Bochao Kong, Yeqin Liu, Yu Shen

There is a finite dimensional $C$ -algebra with $gldim (A) = \infty$ and $HH_{n} (A) = 0$ for $n \geq 1$ .

math.RA2025

A counterexample to DG version of Han's conjecture

Yeqin Liu, Yu Shen

In 2004, Han proposed the following conjecture: let $B$ be a finite-dimensional $k$ -algebra. If $HH_{n} (B) \neq = 0$ for only finitely many $n \in Z$ , then $B$ is smo…

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 $α$ in $Br (X)$ . We show that the f…

math.AG2024

Morita theory of twisted sheaves on $μ_{n}$ -gerbes of line bundles

Yeqin Liu, Yu Shen

We study Morita theory of twisted sheaves on $μ_{n}$ -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.

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

A counterexample to Han's conjecture

A counterexample to DG version of Han's conjecture

Picard group action on the category of twisted sheaves

Morita theory of twisted sheaves on μn​-gerbes of line bundles

Stability conditions on surface root stacks

Morita theory of twisted sheaves on $μ_{n}$ -gerbes of line bundles