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Equivalences of derived categories and K3 surfaces

Dmitri Orlov
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Abstract

We consider derived categories of coherent sheaves on smooth projective varieties. We prove that any equivalence between them can be represented by an object on the product. Using this, we give a necessary and sufficient condition for equivalence of derived categories of two K3 surfaces.

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Dmitri Orlov. 2009-11-28. Equivalences of derived categories and K3 surfaces. https://arxiv.org/abs/alg-geom/9606006

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