Benson, Dave
Dave
Benson
Iyengar, Srikanth B.
Srikanth B.
Iyengar
Krause, Henning
Henning
Krause
Pevtsova, Julia
Julia
Pevtsova
Local duality for the singularity category of a finite dimensional Gorenstein algebra
2019
2019-07-15T11:34:46Z
2019-07-15T11:34:46Z
preprint
https://pub.uni-bielefeld.de/record/2936505
https://pub.uni-bielefeld.de/record/2936505.json
1905.01506
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 cohomology.