@article{cd113d03089a441395cd6ffdd80185c9,

title = "Local duality for the singularity category of a finite dimensional Gorenstein algebra",

abstract = "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 p-local and p-torsion subcategories of the derived category, for each homogeneous prime ideal p arising from the action of a commutative ring via Hochschild cohomology.",

keywords = "SUPPORT VARIETIES, COHOMOLOGY",

author = "Dave Benson and Iyengar, {Srikanth B.} and Henning Krause and Julia Pevtsova",

note = "Acknowledgments. We are grateful to the American Institute of Mathematics in San Jose, California for supporting this project by their “Research in Squares” program. Our thanks also to a referee for reading this document with care and offering constructive criticism. The second author was partly supported by the National Science Foundation grants DMS-1503044 and DMS-1700985. The fourth author was partly supported by the National Science Foundation grants DMS-1501146 and DMS-1901854.",

year = "2021",

month = dec,

day = "1",

doi = "10.1017/nmj.2020.2",

language = "English",

volume = "244",

pages = "1--24",

journal = "Nagoya Mathematical Journal",

issn = "0027-7630",

publisher = "Nagoya University",

}