# Some loci of rational cubic fourfolds

@article{Bolognesi2015SomeLO,
title={Some loci of rational cubic fourfolds},
author={M. Bolognesi and F. Russo and Giovanni Staglian{\o}},
journal={Mathematische Annalen},
year={2015},
volume={373},
pages={165-190}
}`
• Published 2015
• Mathematics
• Mathematische Annalen
In this paper we investigate the divisor $${\mathcal {C}}_{14}$$C14 inside the moduli space of smooth cubic hypersurfaces in $${\mathbb {P}}^5$$P5, whose general element is a smooth cubic containing a smooth quartic rational normal scroll. By showing that all degenerations of quartic scrolls in $${\mathbb {P}}^5$$P5 contained in a smooth cubic hypersurface are surfaces with one apparent double point, we prove that every cubic hypersurface contained in $${\mathcal {C}}_{14}$$C14 is rational… Expand

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