Local duality for the singularity category of a finite dimensional Gorenstein algebra

@article{Benson2019LocalDF,
  title={Local duality for the singularity category of a finite dimensional Gorenstein algebra},
  author={Dave Benson and Srikanth B. Iyengar and Henning Krause and Julia Pevtsova},
  journal={arXiv: Representation Theory},
  year={2019}
}
  • Dave Benson, Srikanth B. Iyengar, +1 author Julia Pevtsova
  • Published 2019
  • Mathematics
  • arXiv: Representation Theory
  • A duality theorem for the singularity category of a finite dimensional Gorenstein algebra is proved. It complements a duality on the category of perfect complexes, discovered by Happel. One of its consequences is an analogue of Serre duality, and the existence of Auslander-Reiten triangles for the $\mathfrak{p}$-local and $\mathfrak{p}$-torsion subcategories of the derived category, for each homogeneous prime ideal $\mathfrak{p}$ arising from the action of a commutative ring via Hochschild… CONTINUE READING