Gorenstein categories and Tate cohomology on projective schemes

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dc.creatorEnochs, Edgar
dc.creatorEstrada, Sergio
dc.creatorGarcia-Rozas, J. R.
dc.date2007-11-07
dc.date.accessioned2026-07-07T08:41:31Z
dc.date.available2026-07-07T08:41:31Z
dc.descriptionWe 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.
dc.descriptionto appear in Mathematische Nachrichten (accepted in June'06)
dc.identifierhttps://arxiv.org/abs/0711.1181
dc.identifierhttp://arxiv.org/abs/0711.1181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141697
dc.subjectCategory Theory
dc.subjectAlgebraic Geometry
dc.titleGorenstein categories and Tate cohomology on projective schemes
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