Rizzardo, Alice 
ORCID: 0000-0001-8423-6499 and Van den Bergh, Michel
(2015)
Scalar extensions of derived categories and non-Fourier-Mukai functors.
ADVANCES IN MATHEMATICS, 281.
pp. 1100-1144.
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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. This result has been extended by Lunts and Orlov to include functors from perfect complexes to quasi-coherent complexes. In this paper we show that the latter extension is false without the full faithfulness hypothesis. Our results are based on the properties of scalar extensions of derived categories, whose investigation was started by Pawel Sosna and the first author.
| Item Type: | Article |
|---|---|
| Additional Information: | 35 pages |
| Uncontrolled Keywords: | Fourier-Mukai functor, Orlov's theorem |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 19 Dec 2017 09:32 |
| Last Modified: | 19 Jan 2023 06:46 |
| DOI: | 10.1016/j.aim.2015.05.013 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3014473 |
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