An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves

Published 15 Oct 2014 in math.AG | (1410.4039v3)

Abstract: 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 full faithfulness hypothesis.

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