Bulletin of the London Mathematical Society · 1999 · 282 citations · 5 references
Natural SciencesMathematicsGeometryTopologyCategory TheoryDifferential GeometryHomological AlgebraKnot TheoryEquivalences Of CategoriesExact CategoriesHigher CategoriesTriangulated Categories
We give a condition for an exact functor between triangulated categories to be an equivalence. Applications to Fourier–Mukai transforms are discussed. In particular, we obtain a large number of such transforms for K3 surfaces. 1991 Mathematics Subject Classification 18E30, 14J28.
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Semiorthogonal decomposition for algebraic varieties
Alexey Bondal, Dmitri Olegovich Orlov · ArXiv.org · 1995 · 385 citations · Full text