Elsevier

Advances in Mathematics

Volume 322, 15 December 2017, Pages 83-96
Advances in Mathematics

Adjoints to a Fourier–Mukai functor

https://doi.org/10.1016/j.aim.2017.10.015Get rights and content
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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].

MSC

13D09
18E30
14A22

Keywords

Fourier–Mukai functor
Adjoints

Cited by (0)

1

The author is a Lecturer at the University of Liverpool.