Adjoints to a Fourier–Mukai functor



Rizzardo, Alice ORCID: 0000-0001-8423-6499
(2017) Adjoints to a Fourier–Mukai functor. Advances in Mathematics, 322. 83 - 96.

[img] Text
Adjoints to a Fourier-Mukai functor.pdf - Accepted Version

Download (310kB)

Abstract

Given a Fourier–Mukai functor Φ in the general setting of singular schemes, under various hypotheses we provide both left and a right adjoints to Φ, and also give explicit formulas for them. These formulas are simple and natural, and recover the usual formulas when the Fourier–Mukai kernel is a perfect complex. This extends previous work of [1], [12], [13] and has applications to the twist autoequivalences of [9].

Item Type: Article
Additional Information: publisher: Elsevier articletitle: Adjoints to a Fourier–Mukai functor journaltitle: Advances in Mathematics articlelink: http://dx.doi.org/10.1016/j.aim.2017.10.015 content_type: article copyright: © 2017 Elsevier Inc. All rights reserved.
Uncontrolled Keywords: Fourier–Mukai functor, Adjoints
Depositing User: Symplectic Admin
Date Deposited: 30 Nov 2017 07:30
Last Modified: 16 Apr 2021 11:43
DOI: 10.1016/j.aim.2017.10.015
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3013153