Local duality for the singularity category of a finite dimensional Gorenstein algebra
Benson, Dave
Iyengar, Srikanth B.
Krause, Henning
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.
2019
info:eu-repo/semantics/preprint
doc-type:preprint
text
https://pub.uni-bielefeld.de/record/2936505
Benson D, Iyengar SB, Krause H, Pevtsova J. Local duality for the singularity category of a finite dimensional Gorenstein algebra. <em>arXiv:1905.01506</em>. 2019.
eng
info:eu-repo/semantics/altIdentifier/arxiv/1905.01506
info:eu-repo/semantics/closedAccess