activity
20242026
most citedDerived Category of certain maximal order on

1 citations · 1 across the 8 of their papers we have counts for

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8 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 -algebra with and for .

math.RA2025

A counterexample to DG version of Han's conjecture

Yeqin Liu, Yu Shen

In 2004, Han proposed the following conjecture: let be a finite-dimensional -algebra. If for only finitely many , then 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 . Let be a quasi-coherent sheaf on , and in . We show that the f…

math.RT2025

Representations of a class of infinite-dimensional primitive Lie superalgebras

Priyanshu Chakraborty, Yuhui shen, Bin Shu

In [Kac77, Section 5.4] and [Kac 98], V. G. Kac tried to raise, and finished a classification of infinite-dimensional primitive Lie superalgebras. The series with…

math.AG2024★ 1 cited

Derived Category of certain maximal order on

Yu Shen

We show that the moduli space of -line bundles with minimal second Chern class is a fine moduli space, where is a maximal quaternion order on ramified along…

math.AG2024

Morita theory of twisted sheaves on -gerbes of line bundles

Yeqin Liu, Yu Shen

We study Morita theory of twisted sheaves on -gerbes of line bundles . 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.