no. 1
On the rationality of quadric surface bundles
[Sur la rationalité des faisceaux de surfaces quadriques]
Paulsen, Matthias1
1 Institut für Algebraische Geometrie Leibniz Universität Hannover Welfengarten 1 D-30167 Hannover (Germany)
Annales de l'Institut Fourier, Tome 71 (2021) no. 1, pp. 97-121.

Pour tout faisceau de surface quadrique standard sur ℙ 2 , nous montrons que le lieu des fibres rationnelles est dense dans l’espace des modules.

For any standard quadric surface bundle over ℙ 2 , we show that the locus of rational fibres is dense in the moduli space.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/aif.3399
Classification : 14E08, 14D07, 13H10, 14J35, 14M25
Keywords: Hodge loci, rationality problem, quadric surface bundles
Mot clés : Loci de Hodge, problème de rationalité, faisceaux de surface quadriques

Paulsen, Matthias 1

1 Institut für Algebraische Geometrie Leibniz Universität Hannover Welfengarten 1 D-30167 Hannover (Germany)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Paulsen, Matthias. On the rationality of quadric surface bundles. Annales de l'Institut Fourier, Tome 71 (2021) no. 1, pp. 97-121. doi : 10.5802/aif.3399. https://aif.centre-mersenne.org/articles/10.5802/aif.3399/

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