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Orlov’s famous representability theorem asserts that any fully faithful exact functor between the bounded derived categories of coherent sheaves on smooth projective varieties is a Fourier–Mukai functor. In this paper we show that this result is false without the fully faithfulness hypothesis. We also show that our functor does not lift to the homotopy category of spectral categories if the ground field is Q.
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- 1 Finished
Dualities and Correspondences in Algebraic Geometry via Derived Categories and Noncommutative Methods
3/10/16 → 2/10/19