Gorenstein categories and Tate cohomology on projective schemes

By Edgar E. Enochs, Sergio Estrada, Juan Ramón García-Rozas. 2007

61 citations recorded by the source corpus.

We study Gorenstein categories. We show that such a category has Tate cohomological functors and Avramov–Martsinkovsky exact sequences connecting the Gorenstein relative, the absolute and the Tate cohomological functors. We show that such a category has what Hovey calls an injective model structure and also a projective model structure in case the category has enough projectives. As examples we show that if X is a locally Gorenstein projective scheme then the category 𝔔𝔠𝔬(X) of quasi‐coherent sheaves on X is such a category and so has these features. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/963600375c62520124f7d76419796f7708806225

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

On purity and applications to coderived and singularity categories (2014, background): “One approach, followed in [DSŠ14], is to consider small additive categories S such that G = Mod-S is a locally coherent Gorenstein category in the sense of [EEGR08].”