Algebroid prestacks and deformations of ringed spaces

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dc.creatorLowen, Wendy
dc.date2005-11-08
dc.date2005-11-09
dc.date.accessioned2026-07-07T06:50:58Z
dc.date.available2026-07-07T06:50:58Z
dc.descriptionFor a ringed space (X,O), we show that the deformations of the abelian category Mod(O) of sheaves of O-modules are obtained from algebroid prestacks, as introduced by Kontsevich. In case X is a quasi-compact separated scheme the same is true for Qch(O), the category of quasi-coherent sheaves on X. It follows in particular that there is a deformation equivalence between Mod(O) and Qch(O).
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0511197
dc.identifierhttp://arxiv.org/abs/math/0511197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104833
dc.subjectAlgebraic Geometry
dc.subject18E15; 18F20
dc.titleAlgebroid prestacks and deformations of ringed spaces
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