Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/30142
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dc.contributor.authorRizzardo, Alice-
dc.contributor.authorVAN DEN BERGH, Michel-
dc.contributor.authorNeeman, Amnon-
dc.date.accessioned2019-12-16T07:46:18Z-
dc.date.available2019-12-16T07:46:18Z-
dc.date.issued2019-
dc.identifier.citationINVENTIONES MATHEMATICAE, 216(3), p. 927-1004-
dc.identifier.urihttp://hdl.handle.net/1942/30142-
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. 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 Q.-
dc.description.sponsorshipThe first author is a Postdoctoral Research Fellow at the University of Edinburgh. The second author is a senior researcher at the FWO. This 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 research visits of the first author to the University of Hasselt, supported by ESF Exchange Grant 4498 in the framework of the Project "Interactions of Low-Dimensional Topology and Geometry with Mathematical Physics (ITGP)" and by the FWO Grant 1503512N "Non-commutative algebraic geometry" and by the second author to the International School for Advanced Studies (SISSA) at Trieste. The authors are very grateful to the NSF, the MSRI, the ESF, the steering committee of the ITGP Project, the FWO and SISSA for their financial and moral support. The research by Amnon Neeman was partly supported by the Australian Research Council.-
dc.language.isoen-
dc.publisherSPRINGER HEIDELBERG-
dc.rightsSpringer-Verlag GmbH Germany, part of Springer Nature 2019-
dc.titleAn example of a non-Fourier-Mukai functor between derived categories of coherent sheaves-
dc.typeJournal Contribution-
dc.identifier.epage1004-
dc.identifier.issue3-
dc.identifier.spage927-
dc.identifier.volume216-
local.format.pages78-
local.bibliographicCitation.jcatA1-
dc.description.notes[Rizzardo, Alice] Univ Edinburgh, Sch Math, James Clerk Maxwell Bldg,Kings Bldg,Peter Guthrie, Edinburgh EH9 3FD, Midlothian, Scotland. [Van den Bergh, Michel] Univ Hasselt, Univ Campus, B-3590 Diepenbeek, Belgium. [Neeman, Amnon] Australian Natl Univ, Math Sci Inst, Ctr Math & Its Applicat, John Dedman Bldg, Canberra, ACT 0200, Australia.-
local.publisher.placeHEIDELBERG-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1007/s00222-019-00862-9-
dc.identifier.isi000469388500006-
item.accessRightsRestricted Access-
item.contributorRizzardo, Alice-
item.contributorVAN DEN BERGH, Michel-
item.contributorNeeman, Amnon-
item.fulltextWith Fulltext-
item.fullcitationRizzardo, Alice; VAN DEN BERGH, Michel & Neeman, Amnon (2019) An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves. In: INVENTIONES MATHEMATICAE, 216(3), p. 927-1004.-
item.validationecoom 2020-
crisitem.journal.issn0020-9910-
crisitem.journal.eissn1432-1297-
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