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arXiv · 2409.08504

Rationality of Brauer-Severi surface bundles over rational 3-folds

Shitan Xu
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Abstract

We give a sufficient condition for a Brauer-Severi surface bundle over a rational 3-fold to not be stably rational. Additionally, we present an example that satisfies this condition and demonstrate the existence of families of Brauer-Severi surface bundles whose general members are smooth and not stably rational.

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Shitan Xu. 2024-09-13. Rationality of Brauer-Severi surface bundles over rational 3-folds. https://arxiv.org/abs/2409.08504

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