Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology · 2007 · 152 citations · 17 references
Natural SciencesMathematicsAlgebraGeometryRepresentation TheoryCategory TheoryCohomology TheoryDimension TheoryCohomological DimensionDerived CategoriesDerived FunctorsRepresentable FunctorsTriangulated Categories
Abstract We define a dimension for a triangulated category. We prove a representability Theorem for a class of functors on finite dimensional triangulated categories. We study the dimension of the bounded derived category of an algebra or a scheme and we show in particular that the bounded derived category of coherent sheaves over a variety has a finite dimension.
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Stéphane Crépey, Olivier Guéant, David Hobson et al. · HAL (Le Centre pour la Communication Scientifique Directe) · 2011 · 10.2K citations