Products, Homotopy Limits and Applications

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dc.creatorHogadi, Amit
dc.creatorXu, Chenyang
dc.date2009-02-23
dc.date.accessioned2026-07-07T12:46:08Z
dc.date.available2026-07-07T12:46:08Z
dc.descriptionIn this note, we discuss the derived functors of infinite products and homotopy limits. $QC(X)$, the category of quasi-coherent sheaves on a Deligne-Mumford stack $X$, usually has the property that the derived functors of product vanish after a finite stage. We use this fact to study the convergence of certain homotopy limits and apply it compare the derived category of $QC(X)$ with certain other closely related triangulated categories.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0902.4016
dc.identifierhttp://arxiv.org/abs/0902.4016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221282
dc.subjectCategory Theory
dc.subjectAlgebraic Geometry
dc.subject18E30, 14A20
dc.titleProducts, Homotopy Limits and Applications
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