1. New examples of non-Fourier–Mukai functors.
- Author
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Raedschelders, Theo, Rizzardo, Alice, and Van den Bergh, Michel
- Subjects
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MODULES (Algebra) - Abstract
A celebrated result by Orlov states that any fully faithful exact functor between the bounded derived categories of coherent sheaves on smooth projective varieties is of geometric origin, i.e. it is a Fourier–Mukai functor. In this paper we prove that any smooth projective variety of dimension $\ge 3$ equipped with a tilting bundle can serve as the source variety of a non-Fourier–Mukai functor between smooth projective schemes. [ABSTRACT FROM AUTHOR] more...
- Published
- 2022
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