Stable rationality of quadric surface bundles over surfaces
Algebraic Geometry
2016-03-31 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.1603.09262,
title = {Stable rationality of quadric surface bundles over surfaces},
author = {Brendan Hassett and Alena Pirutka and Yuri Tschinkel},
journal= {arXiv preprint arXiv:1603.09262},
year = {2016}
}
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24 pages