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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.21436 |
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| _version_ | 1866909437390749696 |
|---|---|
| author | Yang, Kaiqi |
| author_facet | Yang, Kaiqi |
| contents | We study stable rationality of conic bundles $X$ over $\mathbb{P}^1$ defined over non-closed field $k$ via the cohomology of the Galois group of finite field extension $k'/k$ with action on the geometric Picard lattice of $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21436 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Potentially stably rational conic bundles over nonclosed fields Yang, Kaiqi Algebraic Geometry We study stable rationality of conic bundles $X$ over $\mathbb{P}^1$ defined over non-closed field $k$ via the cohomology of the Galois group of finite field extension $k'/k$ with action on the geometric Picard lattice of $X$. |
| title | Potentially stably rational conic bundles over nonclosed fields |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2410.21436 |