Comptes Rendus
no. 2
Géométrie algébrique, Structure de Hodge
Rational cubic fourfolds in Hassett divisors
[Cubiques rationnelles de dimension 4 dans les diviseurs de Hassett]
Song Yang1 ; Xun Yu1
1 Center for Applied Mathematics, Tianjin University, Weijin Road 92, Tianjin 300072, China
Comptes Rendus. Mathématique, Volume 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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.4
Classification : 14C30, 14E08, 14M20
Song Yang 1 ; Xun Yu 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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     title = {Rational cubic fourfolds in {Hassett} divisors},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {129--137},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {358},
     number = {2},
     year = {2020},
     doi = {10.5802/crmath.4},
     language = {en},
}
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%A Xun Yu
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Song Yang; Xun Yu. Rational cubic fourfolds in Hassett divisors. Comptes Rendus. Mathématique, Volume 358 (2020) no. 2, pp. 129-137. doi : 10.5802/crmath.4. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.4/

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