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arXiv · 1603.09262

Stable rationality of quadric surface bundles over surfaces

Brendan Hassett·Alena Pirutka·Yuri Tschinkel
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Abstract

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.

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Brendan Hassett, Alena Pirutka, Yuri Tschinkel. 2016-03-30. Stable rationality of quadric surface bundles over surfaces. https://arxiv.org/abs/1603.09262

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