Derived categories of graded gentle one-cycle algebras

Abstract

Let $A$ be a graded algebra. It is shown that the derived category of dg modules over $A$ (viewed as a dg algebra with trivial differential) is a triangulated hull of a certain orbit category of the derived category of graded $A$-modules. This is applied to study derived categories of graded gentle one-cycle algebras.

To appear in JPAA

References in corpus (2)

• On triangulated orbit categories
• Auslander orders over nodal stacky curves and partially wrapped Fukaya categories

Cited by in corpus (8)

• Relative singularity categories II: DG models
• q-Stability conditions on Calabi-Yau-X categories
• $q$-Stability conditions via $q$-quadratic differentials for Calabi-Yau-$\mathbb{X}$ categories
• Categorical absorptions of singularities and degenerations
• Cohen-Macaulay differential graded modules and negative Calabi-Yau configurations
• The derived category of an algebra with radical square zero
• Triangulated categories of periodic complexes and orbit categories
• The equivalence of two discretenesses of triangulated categories