Rationality of Brauer-Severi surface bundles over rational 3-folds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910657704624128 |
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| author | Xu, Shitan |
| author_facet | Xu, Shitan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08504 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rationality of Brauer-Severi surface bundles over rational 3-folds Xu, Shitan Algebraic Geometry 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. |
| title | Rationality of Brauer-Severi surface bundles over rational 3-folds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2409.08504 |