New examples of non-Fourier-Mukai functors

Raedschelders, Theo, Rizzardo, Alice ORCID: 0000-0001-8423-6499 and Van den Bergh, Michel (2022) New examples of non-Fourier-Mukai functors. COMPOSITIO MATHEMATICA, 158 (6). pp. 1254-1267.

Text
new-examples-of-non-Fourier-Mukai-functors (1).pdf - Author Accepted Manuscript
Available under License Creative Commons Attribution Non-commercial No Derivatives.
Download (403kB) | Preview

Official URL: http://dx.doi.org/10.1112/s0010437x22007540

Abstract

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.

Item Type:	Article
Additional Information:	10 pages
Uncontrolled Keywords:	Fourier-Mukai functor, Orlov's theorem
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	02 Mar 2022 09:21
Last Modified:	18 Jan 2023 21:11
DOI:	10.1112/S0010437X22007540
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3149937