Generators and representability of functors in commutative and noncommutative geometry

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dc.creatorBondal, Alexei
dc.creatorBergh, Michel Van den
dc.date2002-04-17
dc.date2002-07-17
dc.date.accessioned2026-07-07T04:47:46Z
dc.date.available2026-07-07T04:47:46Z
dc.descriptionWe give a sufficient condition for an Ext-finite triangulated category to be saturated. Saturatedness means that every contravariant cohomological functor of finite type to vector spaces is representable. The condition consists in existence of a strong generator. We prove that the bounded derived categories of coherent sheaves on smooth proper commutative and noncommutative varieties have strong generators, hence saturated. In contrast the similar category for a smooth compact analytic surface with no curves is not saturated.
dc.descriptionMinor changes
dc.identifierhttps://arxiv.org/abs/math/0204218
dc.identifierhttp://arxiv.org/abs/math/0204218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63844
dc.subjectAlgebraic Geometry
dc.subjectCategory Theory
dc.subject18E30
dc.titleGenerators and representability of functors in commutative and noncommutative geometry
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