Brendan Hassett, Alena Pirutka, Yuri Tschinkel
Published 2016-03-30Version 1
We study rationality properties of quadric surface bundles over the projective plane. We exhibit families of smooth projective complex fourfolds of this type over connected bases, containing both rational and non-rational fibers.
Intersections of three quadrics in $\mathbb{P}^7$
Quadric surface bundles over surfaces
Weak approximation for certain quadric surface bundles
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