The stable derived category of a noetherian scheme

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dc.creatorKrause, Henning
dc.date2004-03-30
dc.date2004-09-27
dc.date.accessioned2026-07-07T05:06:54Z
dc.date.available2026-07-07T05:06:54Z
dc.descriptionFor a noetherian scheme, we introduce its unbounded stable derived category. This leads to a recollement which reflects the passage from the bounded derived category of coherent sheaves to the quotient modulo the subcategory of perfect complexes. Some applications are included, for instance an analogue of maximal Cohen-Macaulay approximations, a construction of Tate cohomology, and an extension of the classical Grothendieck duality. In addition, the relevance of the stable derived category in modular representation theory is indicated.
dc.descriptionFinal version, to appear in Compositio Math.; 38 pages
dc.identifierhttps://arxiv.org/abs/math/0403526
dc.identifierhttp://arxiv.org/abs/math/0403526
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70651
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subjectPrimary: 14F05, 18E30; Secondary: 16E45, 16G50, 55U35
dc.titleThe stable derived category of a noetherian scheme
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