Yeqin Liu

collaborators

3 papers

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…

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

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