[{"type":"preprint","citation":{"apa":"Benson, D., Iyengar, S. B., Krause, H., & Pevtsova, J. (2019). Local duality for the singularity category of a finite dimensional Gorenstein algebra. *arXiv:1905.01506*","default":"Benson D, Iyengar SB, Krause H, Pevtsova J (2019)

*arXiv:1905.01506*.","chicago":"Benson, Dave, Iyengar, Srikanth B., Krause, Henning, and Pevtsova, Julia. 2019. “Local duality for the singularity category of a finite dimensional Gorenstein algebra”. *arXiv:1905.01506*.

","ieee":" D. Benson, et al., “Local duality for the singularity category of a finite dimensional Gorenstein algebra”, *arXiv:1905.01506*, 2019.","harvard1":"Benson, D., et al., 2019. Local duality for the singularity category of a finite dimensional Gorenstein algebra. *arXiv:1905.01506*.","dgps":"Benson, D., Iyengar, S.B., Krause, H. & Pevtsova, J. (2019). Local duality for the singularity category of a finite dimensional Gorenstein algebra. *arXiv:1905.01506*.

","angewandte-chemie":"D. Benson, S. B. Iyengar, H. Krause, and J. Pevtsova, “Local duality for the singularity category of a finite dimensional Gorenstein algebra”, *arXiv:1905.01506*, **2019**.","ama":"Benson D, Iyengar SB, Krause H, Pevtsova J. Local duality for the singularity category of a finite dimensional Gorenstein algebra. *arXiv:1905.01506*. 2019.","lncs":" Benson, D., Iyengar, S.B., Krause, H., Pevtsova, J.: Local duality for the singularity category of a finite dimensional Gorenstein algebra. arXiv:1905.01506. (2019).","apa_indent":"Benson, D., Iyengar, S. B., Krause, H., & Pevtsova, J. (2019). Local duality for the singularity category of a finite dimensional Gorenstein algebra. *arXiv:1905.01506*

","wels":"Benson, D.; Iyengar, S. B.; Krause, H.; Pevtsova, J. (2019): Local duality for the singularity category of a finite dimensional Gorenstein algebra *arXiv:1905.01506*","bio1":"Benson D, Iyengar SB, Krause H, Pevtsova J (2019)

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

arXiv:1905.01506.","frontiers":"Benson, D., Iyengar, S. B., Krause, H., and Pevtsova, J. (2019). Local duality for the singularity category of a finite dimensional Gorenstein algebra. *arXiv:1905.01506*.","mla":"Benson, Dave, Iyengar, Srikanth B., Krause, Henning, and Pevtsova, Julia. “Local duality for the singularity category of a finite dimensional Gorenstein algebra”. *arXiv:1905.01506* (2019)."},"user_id":"67994","_id":"2936505","date_updated":"2019-07-15T11:34:46Z","department":[{"_id":"10020"}],"date_created":"2019-07-15T11:34:46Z","title":"Local duality for the singularity category of a finite dimensional Gorenstein algebra","external_id":{"arxiv":["1905.01506"]},"language":[{"iso":"eng"}],"status":"public","publication":"arXiv:1905.01506","author":[{"last_name":"Benson","first_name":"Dave","full_name":"Benson, Dave"},{"full_name":"Iyengar, Srikanth B.","first_name":"Srikanth B.","last_name":"Iyengar"},{"last_name":"Krause","first_name":"Henning","id":"18732638","full_name":"Krause, Henning"},{"full_name":"Pevtsova, Julia","first_name":"Julia","last_name":"Pevtsova"}],"abstract":[{"lang":"eng","text":"A duality theorem for the singularity category of a finite dimensional\r\nGorenstein algebra is proved. It complements a duality on the category of\r\nperfect complexes, discovered by Happel. One of its consequences is an analogue\r\nof Serre duality, and the existence of Auslander-Reiten triangles for the\r\n$\\mathfrak{p}$-local and $\\mathfrak{p}$-torsion subcategories of the derived\r\ncategory, for each homogeneous prime ideal $\\mathfrak{p}$ arising from the\r\naction of a commutative ring via Hochschild cohomology."}],"year":"2019"}]