On the Grothendieck resolution for a certain finite flat commutative group scheme of order $p^{n}$ over an $\Bbb{F}_{p}$-algebra
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918138452377600 |
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| author | Tsuno, Yuji |
| author_facet | Tsuno, Yuji |
| contents | For any commutative finite flat group scheme, Grothendieck constructed an embedding into some smooth group scheme. This embedding is called the Grothendieck resolution. Let $p$ be a prime number and $n$ a positive integer. In connection with the normal basis problems in the framework of group schemes proposed by Suwa and the author, we consider the Grothendieck resolution for a certain finite flat commutative group scheme of order $p^{n}$ over an $\Bbb{F}_{p}$-algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_17305 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Grothendieck resolution for a certain finite flat commutative group scheme of order $p^{n}$ over an $\Bbb{F}_{p}$-algebra Tsuno, Yuji Number Theory For any commutative finite flat group scheme, Grothendieck constructed an embedding into some smooth group scheme. This embedding is called the Grothendieck resolution. Let $p$ be a prime number and $n$ a positive integer. In connection with the normal basis problems in the framework of group schemes proposed by Suwa and the author, we consider the Grothendieck resolution for a certain finite flat commutative group scheme of order $p^{n}$ over an $\Bbb{F}_{p}$-algebra. |
| title | On the Grothendieck resolution for a certain finite flat commutative group scheme of order $p^{n}$ over an $\Bbb{F}_{p}$-algebra |
| topic | Number Theory |
| url | https://arxiv.org/abs/2408.17305 |