Stable rationality in smooth families of threefolds

Brendan Hassett; Andrew Kresch; Yuri Tschinkel

doi:10.1215/00127094-2022-0062

15 April 2023 Stable rationality in smooth families of threefolds

Brendan Hassett, Andrew Kresch, Yuri Tschinkel

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Abstract

We exhibit families of smooth projective threefolds with both stably rational and non stably rational fibers.

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Brendan Hassett. Andrew Kresch. Yuri Tschinkel. "Stable rationality in smooth families of threefolds." Duke Math. J. 172 (6) 1145 - 1172, 15 April 2023. https://doi.org/10.1215/00127094-2022-0062

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Received: 16 February 2022; Published: 15 April 2023

First available in Project Euclid: 4 April 2023

MathSciNet: MR4576240

zbMATH: 1520.14022

Digital Object Identifier: 10.1215/00127094-2022-0062

Subjects:

Primary: 14E08

Secondary: 14D06

Keywords: Châtelet surface , conic bundle , del Pezzo fibration , root stack , stably rational threefold

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