有理 3 折叠上的布劳尔-塞维里曲面束的合理性

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-13 DOI:arxiv-2409.08504

Shitan Xu

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引用次数: 0

摘要

我们给出了有理 3 折叠上的 Brauer-Severi 曲面束不稳定有理的充分条件。此外，我们给出了一个满足这个条件的例子，并证明了一般成员光滑而非稳定有理的布劳尔-塞维里曲面束族的存在。

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

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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arXiv - MATH - Algebraic Geometry

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