Fourier-Mukai functors: a survey
Algebraic Geometry
2012-10-29 v2
Abstract
This paper surveys some recent results about Fourier--Mukai functors. In particular, given an exact functor between the bounded derived categories of coherent sheaves on two smooth projective varieties, we deal with the question whether this functor is of Fourier--Mukai type. Several related questions are answered and many open problems are stated.
Cite
@article{arxiv.1109.3083,
title = {Fourier-Mukai functors: a survey},
author = {Alberto Canonaco and Paolo Stellari},
journal= {arXiv preprint arXiv:1109.3083},
year = {2012}
}
Comments
31 pages. Final version to appear in EMS Ser. Congr. Rep., Eur. Math. Soc