ACM bundles on cubic fourfolds containing a plane
Algebraic Geometry
2017-11-22 v4
Abstract
We study ACM bundles on cubic fourfolds containing a plane exploiting the geometry of the associated quadric fibration and Kuznetsov's treatment of their bounded derived categories of coherent sheaves. More precisely, we recover the K3 surface naturally associated to the fourfold as a moduli space of Gieseker stable ACM bundles of rank four.
Cite
@article{arxiv.1303.6998,
title = {ACM bundles on cubic fourfolds containing a plane},
author = {Martí Lahoz and Emanuele Macrì and Paolo Stellari},
journal= {arXiv preprint arXiv:1303.6998},
year = {2017}
}
Comments
18 pages. This is the last section of the previous version of arXiv:1303.6998 which is now spit into two parts. Explanations added