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arxiv: math/9809114 · v2 · pith:SG2NWMJVnew · submitted 1998-09-21 · 🧮 math.AG

Equivalences of triangulated categories and Fourier-Mukai transforms

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keywords transformscategoriesfourier-mukaitriangulatedapplicationsconditiondiscussedequivalence
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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.

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