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arXiv · 1410.4039

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

Alice Rizzardo·Michel Van den Bergh·Amnon Neeman
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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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Alice Rizzardo, Michel Van den Bergh, Amnon Neeman. 2014-10-15. An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves. https://arxiv.org/abs/1410.4039

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