An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves
成果类型：
Article
署名作者：
Rizzardo, Alice; Van den Bergh, Michel; Neeman, Amnon
署名单位：
University of Edinburgh; Hasselt University; Australian National University
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-019-00862-9
发表日期：
2019
页码：
927-1004
关键词：
摘要：
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.
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