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Cubic fourfolds fibered in sextic del Pezzo surfaces
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 141, Number 6, December 2019
- pp. 1479-1500
- 10.1353/ajm.2019.0041
- Article
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Abstract:
We exhibit new examples of rational cubic fourfolds, parametrized by a countably infinite union of codimen\-sion-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.