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arxiv: 1607.06392 · v2 · pith:BI3BU4U7new · submitted 2016-07-21 · 🧮 math.AG

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

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keywords categorycubicderivedfourfoldplanealgebraazumayacontaining
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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.

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