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http://hdl.handle.net/1942/19667
Title: | Scalar extensions of derived categories and non-Fourier-Mukai functors | Authors: | Rizzardo, Alice VAN DEN BERGH, Michel |
Issue Date: | 2015 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | ADVANCES IN MATHEMATICS, 281, p. 1100-1144 | 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 quasicoherent 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. (C) 2015 Elsevier Inc. All rights reserved. | Notes: | [Rizzardo, Alice] SISSA, I-34136 Trieste, Italy. [Van den Bergh, Michel] Univ Hasselt, B-3590 Diepenbeek, Belgium. | Keywords: | Fourier-Mukai functor; Orlov's theorem;Fourier–Mukai functor; Orlov’s theorem | Document URI: | http://hdl.handle.net/1942/19667 | ISSN: | 0001-8708 | e-ISSN: | 1090-2082 | DOI: | 10.1016/j.aim.2015.05.013 | ISI #: | 000358460000025 | Rights: | © 2015 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2016 |
Appears in Collections: | Research publications |
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