Local duality for the singularity category of a finite dimensional Gorenstein algebra
Benson, Dave
Benson
Dave
Iyengar, Srikanth B.
Iyengar
Srikanth B.
Krause, Henning
Krause
Henning
Pevtsova, Julia
Pevtsova
Julia
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.
244
1-24
1-24
Cambridge University Press
2021