Lagrangian embeddings of cubic fourfolds containing a plane
Algebraic Geometry
2014-07-29 v1
Abstract
We prove that a very general cubic fourfold containing a plane can be embedded into a holomorphic symplectic eightfold as a Lagrangian submanifold. We construct the desired holomorphic symplectic eightfold as a moduli space of Bridgeland stable objects in the derived category of the twisted K3 surface corresponding to the cubic fourfold containing a plane.
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Cite
@article{arxiv.1407.7265,
title = {Lagrangian embeddings of cubic fourfolds containing a plane},
author = {Genki Ouchi},
journal= {arXiv preprint arXiv:1407.7265},
year = {2014}
}
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30 pages