Rational cubic fourfolds in Hassett divisors

We prove that every Hassett’s Noether–Lefschetz divisor of special cubic fourfolds contains a union of three subvarieties parametrizing rational cubic fourfolds, of codimension-two in the moduli space of smooth cubic fourfolds.

Bibliographic Details
Main Authors: Yang, Song, Yu, Xun
Format: Article
Language:English
Published: Académie des sciences 2020-06-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.4/