Cubic fourfolds fibered in sextic del pezzo surfaces

Nicolas Addington; Brendan Hassett; Yuri Tschinkel; Anthony Várilly-Alvarado

doi:10.1353/ajm.2019.0041

Cubic fourfolds fibered in sextic del pezzo surfaces

Nicolas Addington, Brendan Hassett, Yuri Tschinkel, Anthony Várilly-Alvarado

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	1479-1500
Number of pages	22
Journal	American Journal of Mathematics
Volume	141
Issue number	6
DOIs	https://doi.org/10.1353/ajm.2019.0041
State	Published - Dec 2019

ASJC Scopus subject areas

General Mathematics

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title = "Cubic fourfolds fibered in sextic del pezzo surfaces",

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.",

author = "Nicolas Addington and Brendan Hassett and Yuri Tschinkel and Anthony V{\'a}rilly-Alvarado",

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AB - 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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Cubic fourfolds fibered in sextic del pezzo surfaces

Abstract

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