Rational cubic fourfolds in Hassett divisors

Yang, Song; Yu, Xun

Comptes Rendus. Mathématique, Tome 358 (2020) no. 2, pp. 129-137.

Nous prouvons que chaque diviseur de Hassett–Noether–Lefschetz de cubiques spéciales de dimension 4 contient une union de trois sous-variétés paramétrant des cubiques rationnelles de dimension 4, de codimension deux dans l’espace de modules des cubiques lisses de dimension 4.

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.

Classification : 14C30, 14E08, 14M20

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