Cubic fourfolds fibered in sextic del Pezzo surfaces

@article{Addington2019CubicFF,
  title={Cubic fourfolds fibered in sextic del Pezzo surfaces},
  author={Nicolas Addington and Nicolas Brendan Yuri Anthony Hassett and Nicolas Brendan Yuri Anthony Tschinkel and Nicolas Brendan Yuri Anthony V{\'a}rilly-Alvarado},
  journal={American Journal of Mathematics},
  year={2019},
  volume={141},
  pages={1479 - 1500}
}
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. 
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