Geodesic
Géométrie algébrique, Structure de Hodge
Rational cubic fourfolds in Hassett divisors
[Cubiques rationnelles de dimension 4 dans les diviseurs de Hassett]
Yang, Song1 ; Yu, Xun1
1 Center for Applied Mathematics, Tianjin University, Weijin Road 92, Tianjin 300072, China
Comptes Rendus. Mathématique, Tome 358 (2020) no. 2, pp. 129-137.

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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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.4
Classification : 14C30, 14E08, 14M20

Yang, Song 1 ; Yu, Xun 1

1 Center for Applied Mathematics, Tianjin University, Weijin Road 92, Tianjin 300072, China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Yang, Song; Yu, Xun. Rational cubic fourfolds in Hassett divisors. Comptes Rendus. Mathématique, Tome 358 (2020) no. 2, pp. 129-137. doi : 10.5802/crmath.4. http://geodesic.mathdoc.fr/articles/10.5802/crmath.4/

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