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

@article{Benson2019LocalDF, title={Local duality for the singularity category of a finite dimensional Gorenstein algebra}, author={Dave Benson and Srikanth B. Iyengar and Henning Krause and Julia Pevtsova}, journal={arXiv: Representation Theory}, year={2019} }

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… CONTINUE READING

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SHOWING 1-10 OF 27 REFERENCES

## Cohomology of finite-dimensional pointed Hopf algebras

VIEW 1 EXCERPT

## SUPPORT VARIETIES FOR SELFINJECTIVE ALGEBRAS

VIEW 2 EXCERPTS

## Local cohomology and support for triangulated categories

VIEW 2 EXCERPTS

## Cohen-Macaulay and Gorenstein Artin algebras

VIEW 1 EXCERPT

## Stratifying triangulated categories

VIEW 2 EXCERPTS

## REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS

VIEW 2 EXCERPTS

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