On two rationality conjectures for cubic fourfolds
Algebraic Geometry
2016-08-18 v4
Abstract
Motivated by the question of rationality of cubic fourfolds, we show that a cubic X has an associated K3 surface in the sense of Hassett if and only if the variety F of lines on X is birational to a moduli space of sheaves on a K3 surface, but that having F birational to Hilb^2(K3) is more restrictive. We compare the loci in the moduli space of cubics where each condition is satisfied.
Cite
@article{arxiv.1405.4902,
title = {On two rationality conjectures for cubic fourfolds},
author = {Nicolas Addington},
journal= {arXiv preprint arXiv:1405.4902},
year = {2016}
}
Comments
10 pages; final version to appear in Math. Res. Lett