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Equivalences of triangulated categories and Fourier-Mukai transforms

Tom Bridgeland
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Abstract

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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Tom Bridgeland. 2019-03-12. Equivalences of triangulated categories and Fourier-Mukai transforms. https://arxiv.org/abs/math/9809114

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