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Equivalences of Triangulated Categories and Fourier-Mukai Transforms

Equivalences of Triangulated Categories and Fourier-Mukai Transforms

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.