We describe an Azumaya algebra on the resolution of singularities of the double cover of a plane ramified along a nodal sextic associated to a non generic cubic fourfold containing a plane. We show that the derived category of such a resolution, twisted by the Azumaya algebra, is equivalent to the Kuznetsov component in the semiorthogonal decomposition of the derived category of the cubic fourfold.

The derived category of a non generic cubic fourfold containing a plane

Moschetti R.
2018-01-01

Abstract

We describe an Azumaya algebra on the resolution of singularities of the double cover of a plane ramified along a nodal sextic associated to a non generic cubic fourfold containing a plane. We show that the derived category of such a resolution, twisted by the Azumaya algebra, is equivalent to the Kuznetsov component in the semiorthogonal decomposition of the derived category of the cubic fourfold.
2018
25
5
1525
1545
https://arxiv.org/abs/1607.06392
Moschetti R.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1795092
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