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

Benson D, Iyengar SB, Krause H, Pevtsova J (2019)
arXiv:1905.01506.

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Preprint | Englisch
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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.
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arXiv:1905.01506
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Benson D, Iyengar SB, Krause H, Pevtsova J. Local duality for the singularity category of a finite dimensional Gorenstein algebra. arXiv:1905.01506. 2019.
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
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.
Benson, D., et al., 2019. Local duality for the singularity category of a finite dimensional Gorenstein algebra. arXiv:1905.01506.
D. Benson, et al., “Local duality for the singularity category of a finite dimensional Gorenstein algebra”, arXiv:1905.01506, 2019.
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).
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).

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