Rationality of Brauer-Severi surface bundles over rational 3-folds
Algebraic Geometry
2024-10-22 v2
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.
Cite
@article{arxiv.2409.08504,
title = {Rationality of Brauer-Severi surface bundles over rational 3-folds},
author = {Shitan Xu},
journal= {arXiv preprint arXiv:2409.08504},
year = {2024}
}
Comments
28 pages