Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.16627 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929666401501184 |
|---|---|
| author | Panin, Ivan Stavrova, Anastasia |
| author_facet | Panin, Ivan Stavrova, Anastasia |
| contents | Let $X$ be a Noetherian separated scheme. Let $G$ be a reductive $X$-group scheme, and let $E$ be a principal $G$-bundle over $\mathbb{P}^1_X$. We prove that if the restriction of $E$ to $\infty\times X$ is Zariski locally trivial, then $E$ is itself Zariski locally trivial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_16627 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Gille theorem for the relative projective line Panin, Ivan Stavrova, Anastasia Algebraic Geometry Let $X$ be a Noetherian separated scheme. Let $G$ be a reductive $X$-group scheme, and let $E$ be a principal $G$-bundle over $\mathbb{P}^1_X$. We prove that if the restriction of $E$ to $\infty\times X$ is Zariski locally trivial, then $E$ is itself Zariski locally trivial. |
| title | On the Gille theorem for the relative projective line |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2305.16627 |