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Please use this identifier to cite or link to this item: 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
Citation: 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.
URI: http://hdl.handle.net/1942/19667
DOI: 10.1016/j.aim.2015.05.013
ISI #: 000358460000025
ISSN: 0001-8708
Category: A1
Type: Journal Contribution
Validation: ecoom, 2016
Appears in Collections: Research publications

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