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Title: | An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves | Authors: | Rizzardo, Alice VAN DEN BERGH, Michel Neeman, Amnon |
Issue Date: | 2019 | Publisher: | SPRINGER HEIDELBERG | Source: | INVENTIONES MATHEMATICAE, 216(3), p. 927-1004 | 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. 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. | 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. | Document URI: | http://hdl.handle.net/1942/30142 | ISSN: | 0020-9910 | e-ISSN: | 1432-1297 | DOI: | 10.1007/s00222-019-00862-9 | ISI #: | 000469388500006 | Rights: | Springer-Verlag GmbH Germany, part of Springer Nature 2019 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2020 |
Appears in Collections: | Research publications |
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