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.

Original languageEnglish (US)
Pages (from-to)1479-1500
Number of pages22
JournalAmerican Journal of Mathematics
Volume141
Issue number6
StatePublished - Dec 2019

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ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Addington, N., Hassett, B., Tschinkel, Y., & Várilly-Alvarado, A. (2019). Cubic fourfolds fibered in sextic del pezzo surfaces. American Journal of Mathematics, 141(6), 1479-1500.