ACM bundles on cubic threefolds and fourfolds containing a plane
Martí Lahoz, Emanuele Macrì, Paolo Stellari
Number | 23 |
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Authors |
Emanuele Macrì
Marti Lahoz-Vilalta |
Year | 2013 |
We study ACM bundles on cubic threefolds and fourfolds containing a plane. For this purpose, we propose a new approach based on derived category techniques. In the case of cubic threefolds, these techniques allow us to show that the moduli space of Ulrich bundles is always non-empty. Applied to cubic fourfolds containing a plane, they give us a way to recover the K3 surface naturally associated to the fourfold as a moduli space of stable ACM bundles of rank four.