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ACM bundles on cubic threefolds and fourfolds containing a plane

Martí Lahoz, Emanuele Macrì, Paolo Stellari

Number 23
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.

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