Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/19667
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dc.contributor.authorRizzardo, Alice-
dc.contributor.authorVAN DEN BERGH, Michel-
dc.date.accessioned2015-10-06T08:58:55Z-
dc.date.available2015-10-06T08:58:55Z-
dc.date.issued2015-
dc.identifier.citationADVANCES IN MATHEMATICS, 281, p. 1100-1144-
dc.identifier.issn0001-8708-
dc.identifier.urihttp://hdl.handle.net/1942/19667-
dc.description.abstractOrlov'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.-
dc.description.sponsorshipThis research started at the Mathematical Sciences Research Institute in 2013 with the support of the National Science Foundation under Grant No. 0932078 000. A number of results were obtained during a research visit of the first author to the University of Hasselt under the ESF Exchange Grant 4498 in the framework of the project "Interactions of Low-Dimensional Topology and Geometry with Mathematical Physics (ITGP)". The authors are very grateful to the NSF, the MSRI, the ESF and the steering committee of the ITGP project for their support.-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.rights© 2015 Elsevier Inc. All rights reserved.-
dc.subject.otherFourier-Mukai functor; Orlov's theorem-
dc.subject.otherFourier–Mukai functor; Orlov’s theorem-
dc.titleScalar extensions of derived categories and non-Fourier-Mukai functors-
dc.typeJournal Contribution-
dc.identifier.epage1144-
dc.identifier.spage1100-
dc.identifier.volume281-
local.format.pages45-
local.bibliographicCitation.jcatA1-
dc.description.notes[Rizzardo, Alice] SISSA, I-34136 Trieste, Italy. [Van den Bergh, Michel] Univ Hasselt, B-3590 Diepenbeek, Belgium.-
local.publisher.placeSAN DIEGO-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1016/j.aim.2015.05.013-
dc.identifier.isi000358460000025-
item.fullcitationRizzardo, Alice & VAN DEN BERGH, Michel (2015) Scalar extensions of derived categories and non-Fourier-Mukai functors. In: ADVANCES IN MATHEMATICS, 281, p. 1100-1144.-
item.accessRightsRestricted Access-
item.fulltextWith Fulltext-
item.contributorRizzardo, Alice-
item.contributorVAN DEN BERGH, Michel-
item.validationecoom 2016-
crisitem.journal.issn0001-8708-
crisitem.journal.eissn1090-2082-
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