# ANNALES DE L'INSTITUT FOURIER

On the rationality of quadric surface bundles
[Sur la rationalité des faisceaux de surfaces quadriques]
Annales de l'Institut Fourier, Online first, 25 p.

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 :
Première publication :
DOI : https://doi.org/10.5802/aif.3399
Classification : 14E08,  14D07,  13H10,  14J35,  14M25
Mots clés : Loci de Hodge, problème de rationalité, faisceaux de surface quadriques
@unpublished{AIF_0__0_0_A42_0,
author = {Paulsen, Matthias},
title = {On the rationality of quadric surface bundles},
journal = {Annales de l'Institut Fourier},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
year = {2021},
doi = {10.5802/aif.3399},
language = {en},
note = {Online first},
}
Paulsen, Matthias. On the rationality of quadric surface bundles. Annales de l'Institut Fourier, Online first, 25 p.

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