Rizzardo, Alice ORCID: 0000-0001-8423-6499, Van den Bergh, Michel and Neeman, Amnon
(2019)
An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves.
Inventiones Mathematicae, 216 (3).
pp. 927-1004.
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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 fully faithfulness hypothesis. We also show that our functor does not lift to the homotopy category of spectral categories if the ground field is \({\mathbb Q}\).
Item Type: | Article |
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Additional Information: | 55 pages |
Uncontrolled Keywords: | math.AG, math.AG, 13D09, 18E30, 14A22 |
Depositing User: | Symplectic Admin |
Date Deposited: | 21 Jan 2019 09:17 |
Last Modified: | 19 Jan 2023 01:06 |
DOI: | 10.1007/s00222-019-00862-9 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3031571 |