The derived category of a non generic cubic fourfold containing a plane
Algebraic Geometry
2017-06-13 v2
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.
Keywords
Cite
@article{arxiv.1607.06392,
title = {The derived category of a non generic cubic fourfold containing a plane},
author = {Riccardo Moschetti},
journal= {arXiv preprint arXiv:1607.06392},
year = {2017}
}
Comments
14 pages, many edits and corrections