Rationality of Brauer-Severi surface bundles over rational 3-folds
arXiv:2409.08504
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.
28 pages