Acta Mathematica
- Acta Math.
- Volume 220, Number 2 (2018), 341-365.
Stable rationality of quadric surface bundles over surfaces
Brendan Hassett, Alena Pirutka, and Yuri Tschinkel
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.
Article information
Source
Acta Math., Volume 220, Number 2 (2018), 341-365.
Dates
Received: 26 September 2017
First available in Project Euclid: 19 June 2019
Permanent link to this document
https://projecteuclid.org/euclid.acta/1560966694
Digital Object Identifier
doi:10.4310/ACTA.2018.v220.n2.a4
Mathematical Reviews number (MathSciNet)
MR3849287
Zentralblatt MATH identifier
06925267
Citation
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri. Stable rationality of quadric surface bundles over surfaces. Acta Math. 220 (2018), no. 2, 341--365. doi:10.4310/ACTA.2018.v220.n2.a4. https://projecteuclid.org/euclid.acta/1560966694
