Martí Lahoz, Emanuele Macrì, Paolo Stellari
Published 2013-03-27, updated 2015-02-08Version 3
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.
Comments: 18 pages. This is the last section of the previous version of arXiv:1303.6998 which is now spit into two parts. To appear in the Proceedings of the AIM workshop "Brauer groups and obstruction problems: moduli spaces and arithmetic" (Palo Alto, 2013)
ACM bundles on cubic threefolds
The Moduli Space of Cubic Threefolds as a Ball Quotient
Cohomology of the moduli space of cubic threefolds and its smooth models
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