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arXiv · 1606.05321

Cubic fourfolds fibered in sextic del Pezzo surfaces

Nicolas Addington·Brendan Hassett·Yuri Tschinkel·Anthony Várilly-Alvarado
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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.

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Nicolas Addington, Brendan Hassett, Yuri Tschinkel, Anthony Várilly-Alvarado. 2016-06-16. Cubic fourfolds fibered in sextic del Pezzo surfaces. https://doi.org/10.1353/ajm.2019.0041

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