Cubic fourfolds fibered in sextic del Pezzo surfaces
Algebraic Geometry
2020-12-17 v4
Abstract
We exhibit new examples of rational cubic fourfolds, parametrized by a countably infinite union of codimension-two subvarieties in the moduli space. Our examples are fibered in sextic del Pezzo surfaces over the projective plane; they are rational whenever the fibration has a rational section.
Cite
@article{arxiv.1606.05321,
title = {Cubic fourfolds fibered in sextic del Pezzo surfaces},
author = {Nicolas Addington and Brendan Hassett and Yuri Tschinkel and Anthony Várilly-Alvarado},
journal= {arXiv preprint arXiv:1606.05321},
year = {2020}
}
Comments
23 pages, Macaulay2 code as an ancillary file. final version to appear in Amer J Math